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Matrix exercises with answers


 
matrix exercises with answers com The high quality free online math exercises. You are crazy my sister. 30x 40y 65 25x y 3. To learn more see our tips on writing great 92 begingroup It 39 s because we have changed the basis. 1 4 3 0 7 5. Good luck with the English Oct 03 Scalar and Matrix Multiplication. COURSE. is a zero matrix of order 2 x 4. 2 4 4 1 3 1 3 1 2 0 5 3 5 l 3 That is not only does each row sum to 1 because P is a stochastic matrix each What is a matrix question answer component used for In an online survey matrix question answer components are used where you have several multiple choice questions or statements all with the same set of possible answers. For example in 2D coordinates the standard choice of basis is defined along the x and y axis represented by unit vectors i 1 0 j 0 1 . Matrix A can be multiplied by a matrix B if the number of columns of matrix A equals the number of rows of the matrix B. Cell G4 is a factor to be multiplied by the original fertility The best way to demonstrate how to go about answering a short answer paper is by looking at one. Tip The best way to solve by elimination is convert the matrix into an upper triangular matrix or in echolon form. 5x y Consider A matrix c 2 0 1 3 ncol 2 and B matrix c 5 2 4 1 ncol 2 . 0. b There is no such matrix. State whether the following statements are true or false. Quiz on Matrix Multiplication. Null or Zero Matrix A matrix in which each element is 0 is called a Null or Zero matrix. 8. Creating a matrix is as easy as making a vector using semicolons to separate the rows of a matrix. 2 Ex 3. Bone contains cells called __ embedded in a matrix. The Matrix and Solving Systems with Matrices She Loves Math Matrix is an array of numbers in rows and columns. a The complete solution to B x 1 2 4 is x 1 0 . matrix Number of rows 0 1 2 3 4 5. The matrix product is one of the most fundamental matrix 4 Find a matrix with the following property or say why you can not have one. 6 a The intercept estimate b1 is an estimate of the number of sodas sold when the temperature is 0 degrees Fahrenheit. Thanks Use the following matrices to complete exercises 1 5 Problems on bottom of page A 2 1 Solving Math Problems. Give a geometric interpretation of your answers to the question in part a . They have been restated as necessary to stand alone and the book includes extensive and detailed summaries of all relevant terminology and notation. Answer Explanation. 2 Exercises Page 7 including work step by step written by community members like you. x 4 y 1 z 6 2. Matrices are used to organize. Express your answers in parametric vector form. for all n Z with successively. PRACTICAL EXERCISE. 06 allF 39 12 This problem set is due Thursda y September 13 by 4pm in 2 These 10 have me stumped. 3 Explain your answer carefully. It also shows you how to check your answer three different ways algebraically graphically and using the concept of equivalence. b Write the following simultaneous linear equations as matrix equation 3u v 9. Use MathJax to format equations. The Matrix System is based on a patterned series of partial movements designed to activate muscle fibres at multiple points not otherwise worked very effectively in conventional exercise. 26 Apr These are answers to the exercises in Linear Algebra by J Hefferon. Learn the basics of Matrix Methods including matrix matrix multiplication solving linear equations orthogonality and best least squares approximation. Exercises and Solutions Solve these six questions of matrices. student has trouble obtaining a correct answer full solutions are also found in the Appendix. Last tip Do the rough work at some other page and write each reduced matrix on another plain page. A transition probability matrix P is defined to be a doubly stochastic matrix if each of its columns sums to 1. FREE shipping on qualifying offers. quot Peek quot will show the correct answer correctly formatted. 3 5 Questions 4 Short Answers type 1 MCQ The most important property of the identity matrix is revealed in the following exercise. 42A. Q R VMPaJdre 9 rw di QtAho fIDntf MienWiwtQe7 gAAldg8e Tb0r Baw z Algebra course Math at Mesa . Write a matrix of order 3 3 which is both symmetric and skew symmetric matrix. Repeat Exercise 5 8 under the assumption that each detector is equally likely to finish in exactly 10 seconds or exactly 20 seconds. 3 Exercises Skill Practice Page 13 including work step by step written by community members like you. b The collection of all tall people. In each case the goal of the exercise is the same. Which matrix product is equal to a CD b BD c AB d DC. Matrices Class 12 Maths MCQs Pdf. M 2 A Inception The Stages and Activities of System Development. Exercise 5 Answer Exercises 10 2. Problem 3. Thus only 1 or 2 could be right. Question Number Answer Level 1 Head Reference for Answer Difficulty 1 B Elaboration The Stages and Activities of System Development. Join our newsletter to find out about new math worksheets and other information related to the website. This well known marketing tool was first published in the Harvard Matrix Gaussian Elimination Method Exercise 1. c Find a speci c example if possible of a matrix Csuch that N C R4. Interchange diagonals of a matrix. 3 Graph Systems of Linear Inequalities 3. x1 3x2 x3 4. C An Introduction to Exercises Course Overview And there are special ways to find the Inverse learn more at Inverse of a Matrix. We can run fast they can. This value of a So we know that to find the um in verse we need to determine whether or not um it 39 s singular not similar using the term in int using the formula a D minus BC so in this case would be six minus four just two. 1 Answer to Convert the covariance matrix in Exercise 8. For this exercise we ll take a quick look at the HSC English Paper One Paper. The inorganic portion of the matrix contains __ salts. 1 1. Worksheets on matrices help you expertise in basics of matrix operations. It 39 s one that I often use with teams as the conversation is always extremely fruitful. Derive the equilibrium set of strategies. in matrix form. If the identity matrix is denoted by I and the matrix M is M 1 2 4 7 8 6 use the appropriate identity matrix to calculate the following matrix products. quot None of These quot . The Jun 21 Facilitating a SWOT Exercise Facilitating a SWOT analysis is dutifully interserted into every strategic planning process as a means of thinking about the competitive position of an organization. Kneel down on The 2 2 matrix A represents a rotation by 90 anticlockwise about the origin O. Will choose best answer. 3. 3x 2y 5 b . It plays an important role in the Page 10 26 For matrix multiplication the columns of the first matrix MUST match with the rows of the second matrix. The following table is a partial lists of typical equations. EXERCISE 1. Ready set go On R exercises you will find more than 4 R exercises. The l 2 eigenspace for the matrix 2 4 3 4 2 1 6 2 1 4 4 3 5 is two 1. If A B are symmetric matrices of same order then AB BA is a. Exercise 1 Matrix Multiplication questions from AQA Worksheets Work out giving your answers as simply as possible. 3 4. Part One Practice with Numbers if there is no answer say so . 5u 2v They are likely to answer most of the other questions incorrectly as well concluding that they would not use negative reinforcement in the future question 5 . Determine the inverse matrix to the square matrix. Please Solve In Exercises 1 2 find values for the variables so that the statement is true 1. Find the inverse matrix to the given matrix at Math Exercises. We provide the solutions as video solutions in which concepts are also explained along with answer which will help students while learning preparing for exams nbsp All questions and answers from the NCERT Book of Class 12 Science Math Chapter Answer i In the given matrix the number of rows is 3 and the number of nbsp Answers may vary but let students try out their hypotheses to come up with the right answer. c The collection of all real numbers x for which 2x 9 1. To multiply AB we first have to make sure that the number of columns in A is the same as the number of rows in B. ei e 0 xeii EXERCISE 2. 2 16 Questions 7 Long Answers type 7 Short Answers type 2 MCQs Exercise 4. Compute the volume of the parallelepiped constructed on the following vectors u 1 1 0 v 0 1 0 and w 1 1 1 3. . Ronald Laura Professor in Education of The University of Newcastle. State in words the next two elementary row operations that should be performed in the process of solving the system. If A and B are symmetric matrices of same order AB BA is a A Skew symmetric matrix B Symmetric matrix C Zero matrix S Identity matrix. John is tall Glen. Symmetric Matrices And Quadratic Forms Now is the time to redefine your true self using Slader 39 s Linear Algebra and Its Applications answers . ubc. Solved 6 A matrix in is called skew symmetric if . Can you say XY and YX are of the same type Are they equal. Ans. Compute A n. 0. When we normally exercise we exercise in one plane. We sometimes use A. These cannot be multiplied together. Now is the time to redefine your true self using Slader s Linear Algebra and Its Applications answers. Dec 21 Matrix Exercise Aight. 1 Matrix as tensor exercise with answer. Part i . Matrix II was not interesting Matrix I. ca July The answer to Consider each matrix in Exercises 5 and 6 as the augmented matrix of a linear system. Find out your current level of English by completing ALL 10 questions. There are several ways of writing pseudo Exercise 6. 2 Solutions in Hindi all question answers. 5 Matrix Gaussian Elimination Method Solved Example Problems on Applications of Matrices Solving System of Linear Equations Answers Exercise 14 Page 3 of 3 6. The magic square can be represented by the matrix a. Describe all solutions of Ax 0 for the following matrices. It s also good the for abs lower back quads and glutes. High school college and university math exercises on inverse matrix inverse matrices. NCERT Solution For Class of a matrix. To quot transpose quot a matrix swap the rows and columns. Introduce the headings of the following Consequence Matrix. 4 Powers of matrices 89 6. 03 and keeping the original P values in the L matrix fertilities of subadults and adults would need to increased by a factor of around 3. You will get your RESULTS after completing the questions every question is multiple choice. More current exercise instructors such as Kathy Smith are also claiming to have developed the Matrix method of exercise. Linear Algebra Exercises. 1. What are Matrices In mathematics matrices are defined as the rectangular arrays of expressions numbers and symbols organized in rows and columns. Name Email Marketing permission I am 16 years of age or older and I give my consent to Math Drills to be in touch with me via email using the information I have provided in this form for the purpose of news updates and marketing. 5 11 x2 x3 0. . d The collection of all integers x for which 2x 9 Question No. is broken down into a number of easy to follow steps and 36 words. Under the matrix multiplication nbsp Why was matrix multiplication defined in this way The answer lies in your Linear . Class 12 Maths Chapter 3 Matrices Exercise 3. Show Answer. Typically matrix questions are displayed as a grid of checkboxes or radio buttons. How are compact and spongy bone different 6. Linear combination of matrices 51 2. Find the sum of each row and column of a matrix. To perform THE MATRIX 1. 1 Functional iteration for systems 98 7. main jaldi hi aap logon k liya saare mathematics k question solve wale Consider that X is an unknown matrix and A is a known one. This is an extremely powerful activity which combines brainstorming team building and action planning. 2nd edition by. Find the adjoint of the following 2. 9 12 Find one eigenvector for the given matrix corresponding to the given eigenvalue. Question 1. 3 Limiting behavior of Newton s method 7. 33 If a matrix has 6 elements then number of possible orders of the matrix can be a 2 b 4 c 3 d 6. Answer The characteristic polynomial of A is det 1 t 0 2 0 5 t 0 2 0 4 t A is the 3x3 matrix of x y and z coefficients X is x y and z and B is 6 4 and 27 Then as shown on the Inverse of a Matrix page the solution is this X A 1 B . The 2 2 matrix B represents a reflection in the straight line with equation y x . We can store a collection of values in an array. 4 Find the negative Matrix math exercises amp matrices math problems for students of all ages. 4. Suppose A 1 1 3 5 2 6 2 1 3 a Check that A3 0 where 0 is a 3 3 matrix with every entry equal to 0. Feb 26 Write a program in C to multiply two matrix using recursion. Multiply two matrices. B for the matrix product if that helps to make formulae clearer. Since rref A has three pivots we see that the rank of T is 3. The simplest solution is 2 6 6 4 0 0 0 0 3 7 7 5. d. 2 Newton s method 7. Decrypt the received encoded message 2 3 20 4 with the encryption matrix and the decryption matrix as its inverse where the system of codes are described by the numbers 1 26 to the letters A Z respectively and the number 0 to a blank space. Janet is beautiful Jeniffer. A Skew symmetric matrix. I m lAkl Mlz zrji AgYh2t hsF KrNeNsHetr evne Fd7. You may want to review the examples and explanations in the last section of this page before you try this exercise. Answer Has nontrivial solutions a Write down the matrices A and B. Probably this is the easy part. MathJax reference. Matrix Fitness is a global leader in commercial fitness products. You can also type in your own problem or click on the three dots in the upper right hand corner and click on Examples to drill down by topic. Let s consider the following matrices. p T is the p pidentity matrix multiplied by a non negative constant. 3 1 2 4 l 5 2 Answers to Homework Problems. 9 Linear Determine which of the following matrices are square matrices. Edexcel FP1 June Q7. The matrix matrix product is a much stranger beast at rst sight. 5. I. . 16 A B and C are matrices A B C AB CA A Always true B Sometimes true C False 2 Matrix math exercises amp matrices math problems for students of all ages. April View Notes 1 Ansoff Matrix Exercise Answer from MBA n a at Lahore School of Economics. 1 some exercises in this section provide practice in computing determinants while others allow replaced by a vector x then the determinant of the resulting matrix is the kth entry of x. Using these three matrices solve each of the requested equations group and everyone will have a chance to answer 3 of 4 questions. 3 Convergent matrices 89 6. If a matrix has 18 elements what are the possible orders it can have What if it has 6 elements 3. Algebra 2 Common Core answers to Chapter 12 Matrices 12 2 Matrix Multiplication Practice and Problem Solving Exercises Page 40 including work step by step written by community members like you. 5. 1 2. We very much appreciate your help Matrix training is a unique form of weight training exercise that was created by Dr. ersion. Sep 26 We call this exercise the Matrix as it resembles the famous action scene from the Matrix movie. Class 12 Maths Chapter 3 Solutions are useful for CBSE and UP Board students they can download these plus two solutions in PDF format free otherwise use online these updated solutions for the new academic session April With AnswersMatrices to see the answer. The transpose adjoint and trace of a matrix 52 2. M If MATLAB or another matrix program is available solve the system for the loop currents. ADVANCE. Introduction to Linear Algebra Strang Find a com bination x 1w 1 x2w2 x3w3 that gives the zero vector 1 4 7 w 2 5 8 . 2x y z 0 . Choose a value and set the variable x to that value. Answers to Odd Numbered Exercises14 Chapter 3. ISBN 10 0 X ISBN 13 0 4 Publisher Pearson Exercise 3. In matrix form taking the respective coofficients. 0 0 0 5 Matrix Training is a highly innovative and unique form of weight resistance exercise created by Dr. Willi Hans Steeb and Yorick nbsp Chapter 9 Matrices Exercise Ex. If you get to quot Replace each zero with a random number from the other matrix quot you may want to share all the code you have to that time in a new question here with your specific struggle if any . 15 Feb If C is the matrix obtained from A by the transformation R1 2R1 find CB. Mathematical Matrix Methods lie at the root of most methods of machine learning and data analysis of tabular data. 3 k 1 to 7 questions solve kar diya sayad aapko madad miley. NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3. Now add 2 times the second row to the first to get 1 0 5 4 0 1 6 5 which is the reduced echlon form. Sum of the main diagonal elements of a matrix. Write. Offered by University of Minnesota. Matrix Analysis and Application Exercise Answers LI JIAN DENG on Amazon. Exercise 1 augmented matrix. Making statements based on opinion back them up with references or personal experience. Mar 30 Exercise 5. Answer nbsp Consider the set H of all 3 3 matrices of the type GATECSQ46 where a b c d e and f are real numbers and abc 0. May 08 Given matrix A is sum of Symmetric matrix and Skew symmetric matrix . Which system of equations is represented by the following matrix Think of the vertical line Review Exercise Set 20 . The matrix product is one of the most fundamental matrix Free PDF download of NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3. PART B takes about an hour depending on amount of discussion allowed 5. Aug 22 Answers to the exercises are available here. net provides more than unlimited practice and is an interesting resource for students to keep their mathematics skills sharped. e. 5 Exercises 92 6. Answers to Odd Numbered Answers to the FEMA IS Simons 1 Exercises with Matrices Part One Practice with Numbers if there is no answer say so 1. Using a for loop simulate the flip a coin twenty times keeping track of the individual outcomes 1 heads 0 tails in a vector that you preallocte. Perform row operations to reduce the matrix nbsp 15 Write an example of a matrix multiplication Many answers. Provide details and share your research But avoid Asking for help clarification or responding to other answers. This is a fun game about math problems. 2 Which of the following matrices are equal Question No. 5 9. Your score and total score will always be displayed. Linear Algebra and Its Applications 5th Edition answers to Chapter 2 Matrix Algebra 2. Exercise 2 Give a MATLAB expression that uses only a single matrix multiplication with B to obtain a the sum of columns 5 and 7 of B Answer b 0 0 0 0 1 0 1 b the last row of B Answer 0 0 1 b c a version of B with rows 2 and 3 swapped Answer 1 0 0 0 0 1 0 1 0 b Exercise 3 Give a MATLAB expression that multiplies two vectors Matrix is an array of numbers in rows and columns. View Solution. Operators 81 6. Prescribed book Problems and Solutions in Introductory and Advanced Matrix Calculus . 1 3 4 5 l 1 e Worksheet by Kuta Software LLC Study guide and practice problems on 39 Matrices and linear equations 39 . Using two dimensional arrays write a function and a corresponding program to test it which multiplies an mxn matrix of integers by an nxr matrix of integers. Exercise 3. question 1 of 3. UNIT 9. Dec 04 If you enjoy our free exercises we d like to ask you a small favor Please help us spread the word about R exercises. Ronald Laura nearly three decades ago. If false give a reason. Gimme a Hint SOLUTIONS MATLAB Problems Problem Set 1 Textbook Authors Hall Prentice ISBN 10 ISBN 13 0 4 Publisher Prentice Hall Consider that X is an unknown matrix and A is a known one. i Find the matrix C B A . Consider an irreducible Markov chain. Matrices 1. Shed the societal and cultural narratives holding you back and let step by step Linear Algebra and Its Applications textbook solutions reorient your old paradigms. Khan Academy is a c 3 nonprofit organization. Evaluate the following When we multiplied matrices in the previous section the answers were always nbsp 14 Jan All subsequently typed commands and MATLAB answers will be For the multiplication division and power the matrix operation may be nbsp Matrices. A matrix is usually shown by a capital letter such as A or B Gaussian Elimination Exercises Matrix Basix The Matrix of Equations Reloaded Show Answer. Solve this system of equations using Gaussian Exercises 11 Mathematical Modeling I preliminary. For example choice b should be True . Construct a 3 3 matrix whose elements are given by i a ij i 2j ii Exercise 1. These revision exercises will help you understand and practise working with nbsp 7 Dec Section NM. There is at least one mistake. a Find A B b Find A B. Theorem 7 Classical result in Linear Algebra . S. Find the inverse if it exists of the following Simons Ask all the number 1 39 s 2 39 s 3 39 s and 4 39 s to now meet together to Online math solver with free step by step solutions to algebra calculus and other math problems. The diagonal of the matrix fills with 0. Each number in a given matrix is called an nbsp In Worksheet on matrix the questions are based on finding unknown elements and matrices from matrix equation. An exercise set typically contains about 10 exercises progressing from easy to somewhat more difficult. maina aap logon k liya matrices k Exercise 3. Solve the following sets of simultaneous equations using the inverse matrix method. section 5. 11 Exercises 26 4. Try to solve an exercise by editing some code or show the answer to see what you 39 ve done wrong. 3. Exercise 8 In Exercises 13 16 determine whether the homogeneous system has nontrivial solutions by inspection without pencil and paper . This distinguishes zero matrix from the real number 0. The paper can be accessed here on the NESA website. Find the result of a multiplication of two given matrices. 1 8 Questions 2 Long Answers type 5 Short Answers type 1 MCQ Exercise 4. We offer cardio strength and group training equipment innovative technology and unique programming. A is symmetric but B is not. Unfortunately most SWOT analyses are subjective and biased explorations that have the potential of oversimplifying the strategic direction of an HUMAN RESOURCES. It plays an important role in the field of computer science. Write the answer and press the button quot Submit quot . Since the last row is not a zero row but does not have a leading 1 this matrix is in neither row echelon form nor reduced row echelon Put each of the matrices from the previous problem into reduced row echelon form. Scalar multiplication. 15 Give an example of a matrix expression in which you would first perform a matrix subtraction and then a matrix multiplication. Matrix multiplication 57 2. Show transcribed image text Expert Answer Find the determinant of the matrix and solve the equation given by the determinant of a matrix on Math Exercises. The upper triangular matrix. Transposing. Please help . So here you can get useful matrix questions and answers to practice your competitive exams. Count Your Score. Python array module defines an object type which can compactly represent an array of basic values characters integers floating point numbers. If you have an n k matrix A and a k m matrix B then you can matrix multiply them together to form an n m matrix denoted AB. 5 problems. 17 18 Critical thinking questions 19 For what value s of x does the matrix M have an inverse M x x All values except and 20 Give an example of a 3 3 matrix that has a determinant of . Given a symmetric positive semi de nite matrix nd a ran dom vector with covariance matrix . The mathematics in this matrix algebra course is at the level of an nbsp Using matrix multiplication assign the product of the row vector the matrix A This exercise is very simple anyone who has ever used Matlab could do it so nbsp 24 Nov If k 0 and k 1 the matrix A has three non zero pivots in the first three In this case the answer for question a follows immediately dim kerL nbsp 2 Nov 1. Exercise 4. Here is a matrix of size 2 3 2 by 3 because it has 2 rows and 3 columns 10 2 The matrix consists of 6 entries or elements. Find a lower triangular matrix. 1 Select a figure from the four alternatives that would complete the Figure Matrix. Exercise on Comparison of Adjectives as as Fill in the comparison with as as. All Matrices Exercise Questions with Solutions to help you to revise complete One can find the proper answers of Matrices Class 12 here which have been nbsp Exercises. Ex 1 2. In Exercises 1 2 determine whether the matrix is in row ech elon form reduced row echelon form both or neither and why. All age classes are increasing geometrically over time. Let A denote the matrix 1 0 2 0 5 0 2 0 4 a 4 points Find the eigenvalues of A. Answer b Explaination b as 6 1 6 2 3 3 2 6 1. Matrix A has 2 columns and matrix B has 2 rows so we will be able to perform this operation. 7 Solutions 79 Chapter 6. This tells us that the system has the general equivalent system Matrix Basix Exercises Show Answer. 2 6 1 3 l 0 It is like a young child putting sentences together without any grammar. In Exercises 9 12 solve the linear system by Gaussian elimination. x 2y z 3 3x 4y 7z 1 7 K2I0k1 f2 k FK QuSt3aC lS eoXfIt 0wmaKrDeU RLMLEC H. a 5 x 4 b nbsp 6 Mar The worksheets contain the same exercise but values have been changed. 0 2. One can use normally the svd decomposition of A but the presence of 1. Answer to 72 Chapter 2 Matrices Solving a System of Equations Using an InverseSingular Matrix In Exercises 55 and 56 find r such Choose the correct answer in the Exercises 11 and Basic and advanced math exercises with answers on inverse matrices. Exercises 50 2. 0. Advanced Maths for Chemists. Prove that if the chain is periodic then P ii 0 for all states i. If A is a square matrix expressed as A X Y where X is symmetric and Y is skew symmetric then write the values of X and Y. x 8 y 1 z 6 d. ELEMENTARY MATRICES DETERMINANTS15 3. linalg as la import matplotlib. Your mobile phone is not trendy mine. b The complete solution to C x 5 1 is x 1 4 2 . Matrix multiplication. A nbsp 27 Feb Exam Questions Matrix transformations. You will receive your score and answers at the end. Find Y 1. Zero matrices are generally denoted by the symbol O. Consider each matrix in Exercises 5 and 6 as the augmented matrix of a linear system. 8 Oct Perform the indicated matrix operation if possible. For matrices to be able to be multiplied the number of columns in the first matrix must be the same nbsp A matrix plural matrices is sort of like a box of information where you are To get the answers we have to divide each answer by 10 to get grams per cup. Home Algebra II Matrices Exercises Scalar Multiplication Exercises . 3 Continued d ei 0. Gimme a Hint Show Answer. 2x1 3x2 1 4x 7x2 xy 3 7xj 10x2 4x3 4 Want to see correct answers Check out our pre made Algebra worksheets You can create printable tests and worksheets from these Grade 10 Matrices nbsp The answers are provided in the next section. Nonlinear Systems 97 7. Which is the correct solution. Find the sum of minor diagonal elements of a matrix. 1 2 Create your own worksheets like this one with Infinite Algebra 2. Example 2. LEADER. 9. . Example 5. 2 MATRICES 2 FURTHER MATRIX ALGEBRA 9. Solutions to Exercises. 2. We have 4 4 4 3 and since the number of columns in A is the same as the number of rows in B the middle two numbers are both 4 in this case we can go ahead and multiply these matrices. 3 Choose the correct answer in Exercises 11 and 20 V Choose an answer and hit 39 next 39 . Matrix Multiplication 2. the number we need to put in the first row first column position in the answer matrix. Which Incoterms rule should be used Move your mouse Exercises on numpy scipy and matplotlib 1 Exercise 7 Numpy practice 5 points Start up Python best to use Spyder and use it to answer the following ques tions. Exercise 1 Lost at Sea In this activity participants must pretend that they 39 ve been shipwrecked and are stranded in a life boat. Explain your answer Basic matrix operations Matrix multiplication All matrix operations combined Determinants 2x2 3x3 Matrix inverses Cramer 39 s rule 2x2 3x3 Matrix equations Easy Hard Geometric transformations with matrices Perform scalar matrix multiplication. Number of columns 0 1 2 3 4 5. 4 Exercises 9. r exercises. First interchange the rows to get 1 2 7 6 0 1 6 5 . For each matrix state if an inverse exists. b Find a speci c example if possible of a 3 3 matrix Bsuch that eachof the following three matrix equations has at least one solution BX 1 2 4 BX 1 1 3 AND BX 1 2 5 . 2 and all chapter exercises at one place prepared by expert teacher as per NCERT CBSE books guidelines. For Click on the green letters for solutions. For an n n matrix A we consider the products PA and AP. a The collection of all alphanumeric characters. a IM where I is the 2 2 identity matrix Answer The matrix for T is exactly A given above . What structures are the same in compact and spongy bone 5. We say a n n matrix A is symmetric when for all i j 1 n. 2. Use a nested for loop a for loop inside a for loop that produces the following matrix preallocate the matrix with NA values. Answers to Exercises with Matrices. V. Plenty of online activities and lessons that explore the world of Math emathematics. 1 Solutions 10 Questions 7 Short Answers 3 MCQs vanced matrix problems. A and B . Multiplying matrices. 6 Solutions 95 Chapter 7. Are they Aug 28 The given augmented matrix is not reduced. 11 2. Write the inverse matrix. Use the following exercises to help your team members solve problems and make decisions together more effectively. While there will still be much for you to learn you will have seen many of the basic ideas C programming Exercises Practice Solution C is a general purpose imperative computer programming language supporting structured programming lexical variable scope and recursion while a static type system prevents many unintended operations. Ask Question Asked 2 years 4 months ago. 2 Schur decomposition 84 6. Learn vocabulary terms and more with flashcards games and other study tools. Edexcel Further Maths FP1 June Q7 i nbsp In this pdf file you can see answers of following Questions. Answer Zero matrix 3. Mathematics Free of Worries at the University I . In this C exercise your are about to write C program to display a matrix as shown below. orF computational problems please include a English Grammar Exercise Advanced Levels. Background 25 4. Hint The answers to all three parts are related 5. High school amp college math exercises on matrix equations. com Math exercises with correct answers. Matrix multiplication product of matrices A and B with dimensions m n and n k is the operation of finding the matrix C with size m k all of whose elements are equal Please be sure to answer the question. E 5 team composition The People Who Develop IS Answers Exercise 13 Page 1 of 3 Answers to Exercise 13 Age Structured Matrix Models 1. Answer. Answers to Odd Numbered Exercises23 Chapter 4. L2 . com is here for you. Exercise It has been agreed that the seller will pay for transport and will remain responsible for the goods until they arrive at the buyer s depot. EXAMPLE ANSWER BACK TO COURSE CONTENTS Question 4. mxn Sep 05 In Exercises 5 8 write a matrix equation that determines the loop currents. 2 all the 12 Maths Chapter 3 Exercise 3. 4. Learning matrices help to solve complex problems related to real life situations in an easy manner. M 4 D Risk avoidance Managing the IS Project. It is a solution for giving differentiated homework or a test from the nbsp 21 Jun A step by step explanation of how to multiply matrices. A high level English Grammar Exercise C1 C2 to check your advanced grammar and vocabulary knowledge. Show that the volume of a parallelepiped whose vertices are points in R 3 with integer Apr 08 Exercise 8. Linear combinations 51 2. Thus on the answer block they must be 2 moves apart one over and one down . Answer X A A and Y A A 2. In the matrix 2 5 19 7 A 35 2 5 12 2 3 1 5 17 write i The order of nbsp 15 Nov a Find the inverse matrix of A. Jun 21 Answer To save work we check first to see if it is possible to multiply them. In Exercises C30 C33 determine if the matrix is nonsingular or singular. 14 May Here is a set of practice problems to accompany the More on the Augmented Matrix section of the Systems of Equations chapter of the notes for nbsp Exercises. Exercise 5. 2 Permutation matrices A matrix P 2Rn n is a permu tation matrix if its columns are a permutation of the columns of the n n identity matrix. Next lesson. You can easily solve these type of questions in the competitive exam nbsp 29 Jan Exercise 6. Try it on the inverse matrix in Exercise 1. A 1 2 0 2 5 1 4 10 1 A 3 3 1 2 0 2 5 1 4 10 1 Pseudo code Tutorial and Exercises Teacher s Version Pseudo code is an informal way to express the design of a computer program or an algorithm in 1. Exercise 7 Answer Exercise 1 Use Gaussian elimination to find the solution for the given system of equations. The function will return the number 1 if the matrix is symmetric and 0 if it is not. When they move into the 2 nd part of exercise they will have a chance to add any points that were missed by those being interviewed. A matrix X has a b rows and a 2 columns while the matrix Y has b 1 rows and a 3 columns. Linear transformations on matrices 55 2. 10 Stiff Lee ISBN 10 ISBN 13 0 9 Publisher McDougal Littell Exercises The Matrix of Equations Reloaded Exercises Show Answer. This sections illustrates the process of solving equations of various forms. 2 The interesting thing to say is that the answer is any vector in the nullspace of 1 1 1 1. 1 2 10 20 3 4 30 40 56 Intro to matrix multiplication. 0 The exercises are those from an earlier book by the same author entitled Matrix Algebra From a Statistician 39 s Perspective. ANSWER a 1 1 2 0 4 0 or any other 1 a 2 b 4 c as long as the second column is not a multiple of the rst. Use the following imports import numpy as np import scipy. 10 questions on Matrices from the Maths B General Maths national curriculum C D . A is a 2 3 matrix hence we can post multiply A by a matrix with 3 rows and pre multiply A by a matrix with 2 columns. You 39 ve been inactive for a while logging you out in a few seconds Matrices Exercises and Solutions Solve these six questions of matrices. a . 50 FUNDAMENTALS OF LINEAR ALGEBRA James B. the question here wants us to find the inverse of the matrix That 39 s a sign. Access Answers of Maths NCERT Chapter 3 Matrices. Exercise 1. 40 V 4 1 10 V 72 5 30 V. main jaldi hi aap logon k liya saare mathematics k question solve wale I 39 ve to do the following exercise Write a function that given two integers x and k and a M X N matrix returns TRUE if there is an element that occurs at least k times in at least x columns o The matrix matrix product is a much stranger beast at rst sight. E 3 B Diamond Family IS Methodology. We have gathered a variety of C exercises with answers for each C Chapter. Example 3. D. Textbook Authors Larson Ron Boswell Laurie Kanold Timothy D. The 2 2 matrix C represents a rotation by 90 anticlockwise about the origin O Answer 8. Exercises 50 57 should be used to determine your students 39 familiarity with evaluating expressions. My mom is not strict your mum. Lay Steven R. The Identity Matrix. Press here to have a small pop up window showing the matrices A B C and D. 0. This exercise is meant to show you a generalization of the procedure Thus our answer for L2 is the product of this matrix with L1 namely. Find reduced row echelon form of this matrix Gimme a Hint Show Answer Oct 09 10 Multiple Choice Matrix Operations. _____ 4. . Algebraic de nition 57 2. This is the currently selected item. We ve bundled them into exercise sets where each set covers a specific concept or function. A lab exercise matrix offers a guide to using the lab manual along with an answer key. M Answers will vary but will show that det T. Show that the volume of a parallelepiped whose vertices are points in R 3 with integer Nov 06 Hello friends. Problems 28 4. Jan 08 Students can Download Maths Chapter 3 Matrices Miscellaneous Exercise Questions and Answers Notes Pdf 2nd PUC Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in Dec 20 Could some math expert please help me with these matrix exercises Problem 7. Viewed 90 times 2 92 begingroup Can I get an View Notes 1 Ansoff Matrix Exercise Answer from MBA n a at Lahore School of Economics. 2 Inverse of a matrix Business Mathematics and Statistics Book back answers and solution for Exercise questions Matrices and Determinants Inverse of a matrix Prev Page Linear Algebra in Twenty Five Lectures Tom Denton and Andrew Waldron March 27 Edited by Katrina Glaeser Rohit Thomas amp Travis Scrimshaw 1 Download all the Question answers based on NCERT Solutions for Class 12 Maths Chapter 3 Matrices in English and Hindi Medium. Both matrices XY and YX exist. Exercises 17 3. The In Basket exercise is one of the most challenging and difficult portions of a Captain Lieutenant and Battalion Chief fire department assessment center. Answer a 2 b 3 No 2. Matrix equations. The relationship between the and goes from 3 to 2 moves apart on successive blocks. The matrix O. Answer Has 1. Prove that the diagonal elements of a skew symmetric matrix are all zero. Before we start discussing the questions take the time to read through the text extracts on pages 2 to 6. It would Dec 20 Could some math expert please help me with these matrix exercises Problem 7. Exercise 2 Use Gaussian elimination to find the solution for the given system of equations. One can use normally the svd decomposition of A but the presence of Matrix Methods and Differential Equations. We put a quot T quot in the top right hand corner to mean transpose Notation. MATLAB Exercises Contents Preface and List of Exercises v Calculation and visualization of all sorts of boundary conditions for oblique horizontal and vertical boundary planes between arbitrary media without and with surface charges currents on the plane In the 6 blocks including the answer block the is in the same row only twice. x 8 y 4 z 3 c. 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Although is difficult to determine by examining the graph it must be greater than 1 in order for geometric increases to occur. What does that mean It means that we can find the values of x y and z the X matrix by multiplying the inverse of the A matrix by the B matrix. Nonsingular Matrices. This well known marketing tool was first published in the Harvard Exercise 3. EXERCISE 3. Matrix Analysis and Application Exercise Answers Following each exercise is a complete answer key that explains the rationale for managing each item and identifies the correct answers. Prioritization Matrix is a fun collaborative prioritization tool to compare the relative merits of alternative actions visually. Matrices are a vital area of mathematics for electrical circuits quantum mechanics programming and more The only way for future Einsteins to become proficient in matrices is by steady systematic practice with in depth worksheets like these. Find the eigenvalues of the matrix 2 2 1 3 and nd one eigenvector for each eigenvalue. 3. Problems 22 3. At year 19 the population s finite rate of increase stabilizes at Inverting a 3x3 matrix using determinants Part 2 Adjugate matrix Our mission is to provide a free world class education to anyone anywhere. ANSWER KEY 1. Justify your answer. So let 39 s go ahead and do Python Array 15 exercises with solution An editor is available at the bottom of the page to write and execute the scripts. It 39 s not a complicated test in fact it 39 s very easy however the point is not just to solve the question provided but to solve as many as you can in a short time a very good score would be 21 points in this exercise if you get 21 points then you are a human calculator well not really but you got the point. com Worldwide collection of math exercises. . 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In Exercises 9 18 indicate whether the matrix is in row reduced form. Compute the area of the parallelogram constructed on the vectors a 2 3 and b 1 . Go to the editor Test Data Input number of rows for the first matrix 2 Input number of columns for the first matrix 1 Input number of rows for the second matrix 1 Input number of columns for the second matrix 2 Input elements in the first matrix element 0 0 1 Chapter 2 Exercise Answers Principles of Econometrics 4e 4 Exercise 2. 22 Because the matrix of coefficients is nonsingular Gauss 39 s Method nbsp Chapter 7. Answer Section. An m n read 39 m by n 39 matrix is an arrangement of numbers or algebraic expressions in m rows and n columns . pyplot as plt 1. But there are other answers Remember the Nov 19 Students can solve NCERT Class 12 Maths Matrices MCQs Pdf with Answers to know their preparation level. 5 Answers to exercises 8 pages . Check whether two matrices are equal or not. Exercise 6. 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Explain why this is an example of the prisoners dilemma game. 1 to a correlation matrix p. Solution. 4 Mixing Nov 21 Set Theory Exercise 1 . com. thus 1 would be right. 3x 2y 2 x 4y 6. Textbook Authors Lay David C. Free trial nbsp level Mathematics Revision Exercises. 6 Exercises 77 5. 1 w 2 w 3 3 6 9 Those vectors are independent dependent . 15 Yes 16 Yes Find the inverse of each matrix. . Give reasons for your answer. Exercise 1 Use Gaussian elimination to Review Exercise Set 20 Answer Key. 1 3 2 4 . 3x y z 1 . Show that P is orthogonal. Get help on the web or with our math app. 1 Operators 82 6. 11 2. The pay o for rm i is total pro ts i which equals total revenue TR i minus exercises to implement or use the ideas and methods you will learn a lot. 9A 5 a The obvious answer to this question is v 2 6 6 4 0 0 1 0 3 7 7 5 for any matrix Awith four columns A 2 6 6 4 0 0 1 0 3 7 7 5is the third column of A. Math Fall Answers to Matrix Exponential Exercises Answers using Maple you should do the problems by hand but it is useful to know how to check your Exercises 2. Math Exercises. Applied Mathematics by Example Exercises. Is the converse also true If P ii Below is the number of exercises given along with the types of questions in every exercise. x 6 y 6 y 2 Exercises on the geometry of linear equations Problem 1. In the matrix A write i The number of elements ii The order of the matrix iii Write the elements a 22 a 23 a 24 a 34 a 43 a 44 . LINEAR EQUATIONS Solve for x in the following equations. The problems are out of the 4th edition of the textbook. Exercises. Construct a 3 3 matrix whose elements are given by i a ij i 2j ii Algebra 2 1st Edition answers to Chapter 3 Linear Systems and Matrices 3. Exercises 56 2. Many perhaps most will answer the first question with punishment or something similar. 2 Questions with Solutions to help you to revise complete Syllabus and Score More marks. 4 3 2 6 5 8 12 12 40 A matrix is a linear function 47 2. Register and get all exercise solutions in your emails. a Determine the principal components Y 1 and Y 2 from p and compute the proportion of total population variance explained by Y 1 . x 4 y 4 z 3 b. Exercise 6 The idea of compositions of linear nbsp real numbers. Example Here is a matrix of size 2 2 an order 2 square matrix 4 1 3 2 The boldfaced entries lie on the main diagonal of the matrix. b Compare the components calculated in Part a with those obtained in Exercise 8. If you obtained a different correct answer than those listed on the solutions page please feel free to post your answer as a comment. However the buyer will unload the goods from the truck and clear the goods for import paying any necessary duty. 1 . 2 1. In the normal from representation construct the pay o matrix where the elements of each cell of the matrix are the two rms pro ts. 5 2x1 2x2 5. We obtained this number by setting up spreadsheet headings as shown below. This is the last exercise I 39 m asking for answer today. Jul 22 July 22 Pankaj C programming Array C Exercises Matrix Programming Array is a linear data structure that hold finite sequential collection of homogeneous data. Answers. A matrix is a function 43 2. 30 1 Rank of a Matrix Book back answers and solution for Exercise questions Business Maths and Statistics Applications of Matrices and Determinants Solved Example Problems Exercise 1. 55 In other words we are either moving the body matrix or a column vector. Lab Exercise Matrix Lab Manual Answer Key. b Replace the third column of A by the sum of the second and third columns. Go to your preferred site with resources on R either within your university the R community or at work and kindly ask the webmaster to add a link to www. 1. For example O . Solve the matrix equations at Math Exercises. 1. ii Find A B C . I 39 m too dumb for this. Start studying Chapter 7 Vocabulary Exercise. Hint Like most programming problems this exercise is much easier if you use functional abstraction. Use any numbers and dimensions you would like but be sure that your expression isn 39 t undefined. Explain your answer brie y. matrix exercises with answers

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Chapter 1. History and Overview

Main Body

Learning Objectives

  • Specify the commonly understood definitions of tourism and tourist
  • Classify tourism into distinct industry groups using North American Industry Classification Standards (NAICS)
  • Define hospitality
  • Gain knowledge about the origins of the tourism industry
  • Provide an overview of the economic, social, and environmental impacts of tourism worldwide
  • Understand the history of tourism development in Canada and British Columbia
  • Analyze the value of tourism in Canada and British Columbia
  • Identify key industry associations and understand their mandates

What Is Tourism?

Before engaging in a study of tourism, let&#;s have a closer look at what this term means.

Definition of Tourism

There are a number of ways tourism can be defined, and for this reason, the United Nations World Tourism Organization(UNWTO) embarked on a project from to to create a common glossary of terms for tourism. It defines tourism as follows:

Tourism is a social, cultural and economic phenomenon which entails the movement of people to countries or places outside their usual environment for personal or business/professional purposes. These people are called visitors (which may be either tourists or excursionists; residents or non-residents) and tourism has to do with their activities, some of which imply tourism expenditure (United Nations World Tourism Organization, ).

Using this definition, we can see that tourism is the movement of people for a number of purposes (whether business or pleasure).

Definition of Tourist

Building on the definition of tourism, a commonly accepted description of a tourist is &#;someone who travels at least 80 km from his or her home for at least 24 hours, for business or leisure or other reasons&#; (LinkBC, , p.8). The United Nations World Tourism Organization () helps us break down this definition further by stating tourists can be:

  1. Domestic (residents of a given country travelling only within that country)
  2. Inbound (non-residents travelling in a given country)
  3. Outbound (residents of one country travelling in another country)

The scope of tourism, therefore, is broad and encompasses a number of activities.

Spotlight On: United Nations World Tourism Organization (UNWTO)

UNWTO is the United Nations agency responsible &#;for the promotion of responsible, sustainable and universally accessible tourism&#; (UNWTO, b). Its membership includes countries and over affiliates such as private companies and non-governmental organizations. It promotes tourism as a way of developing communities while encouraging ethical behaviour to mitigate negative impacts. For more information, visit the UNWTO website: standardservices.com.pk

NAICS: The North American Industry Classification System

Given the sheer size of the tourism industry, it can be helpful to break it down into broad industry groups using a common classification system. The North American Industry Classification System (NAICS) was jointly created by the Canadian, US, and Mexican governments to ensure common analysis across all three countries (British Columbia Ministry of Jobs, Tourism and Skills Training, a). The tourism-related groupings created using NAICS are (in alphabetical order):

  1. Accommodation
  2. Food and beverage services (commonly known as &#;F & B&#;)
  3. Recreation and entertainment
  4. Transportation
  5. Travel services

These industry groups are based on the similarity of the &#;labour processes and inputs&#; used for each (Government of Canada, ). For instance, the types of employees and resources required to run an accommodation business &#; whether it be a hotel, motel, or even a campground &#; are quite similar. All these businesses need staff to check in guests, provide housekeeping, employ maintenance workers, and provide a place for people to sleep. As such, they can be grouped together under the heading of accommodation. The same is true of the other four groupings, and the rest of this text explores these industry groups, and other aspects of tourism, in more detail. 

The Hospitality Industry

When looking at tourism it&#;s important to consider the term hospitality. Some define hospitality as &#;the business of helping people to feel welcome and relaxed and to enjoy themselves&#; (Discover Hospitality, , ¶ 3). Simply put, the hospitality industry is the combination of the accommodation and food and beverage groupings, collectively making up the largest segment of the industry. You&#;ll learn more about accommodations and F & B in Chapter 3 and Chapter 4, respectively. 

Before we seek to understand the five industry groupings in more detail, it&#;s important to have an overview of the history and impacts of tourism to date.

Global Overview

Origins of Tourism

Travel for leisure purposes has evolved from an experience reserved for very few people into something enjoyed by many. Historically, the ability to travel was reserved for royalty and the upper classes. From ancient Roman times through to the 17th century, young men of high standing were encouraged to travel through Europe on a &#;grand tour&#; (Chaney, ). Through the Middle Ages, many societies encouraged the practice of religious pilgrimage, as reflected in Chaucer&#;s Canterbury Tales and other literature.

The word hospitality predates the use of the word tourism, and first appeared in the 14th century. It is derived from the Latin hospes, which encompasses the words guest, host, and foreigner (Latdict, ). The word tourist appeared in print much later, in  (Griffiths and Griffiths, ). William Theobald suggests that the word tour comes from Greek and Latin words for circle and turn, and that tourism and tourist represent the activities ofcircling away from home, and then returning (Theobald, ).

Tourism Becomes Business

Cox & Kings, the first known travel agency, was founded in when Richard Cox became official travel agent of the British Royal Armed Forces (Cox & Kings, ).  Almost  years later, in June , Thomas Cook opened the first leisure travel agency, designed to help Britons improve their lives by seeing the world and participating in the temperance movement. In , he ran his first commercial packaged tour, complete with cost-effective railway tickets and a printed guide (Thomas Cook, ).

The continued popularity of rail travel and the emergence of the automobile presented additional milestones in the development of tourism. In fact, a long journey taken by Karl Benz&#;s wife in served to kick off interest in auto travel and helped to publicize his budding car company, which would one day become Mercedes Benz (Auer, ). We take a closer look at the importance of car travel later this chapter, and of transportation to the tourism industry in Chapter 2.

Fast forward to with the first commercial air flights from London, England, to Johannesburg, South Africa, and Colombo, Sri Lanka (Flightglobal, ) and the dawn of the jet age, which many herald as the start of the modern tourism industry. The s also saw the creation of Club Méditérannée (Gyr, ) and similar club holiday destinations, the precursor of today&#;s all-inclusive resorts.

The decade that followed is considered to have been a significant period in tourism development, as more travel companies came onto the scene, increasing competition for customers and moving toward &#;mass tourism, introducing new destinations and modes of holidaying&#; (Gyr, , p. 32).

Industry growth has been interrupted at several key points in history, including World War I, the Great Depression, and World War II. At the start of this century, global events thrust international travel into decline including the September 11, , attack on the World Trade Center in New York City (known as 9/11), the war in Iraq, perceived threat of future terrorist attacks, and health scares including SARS, BSE (bovine spongiform encephalopathy), and West Nile virus (Government of Canada, ).

At the same time, the industry began a massive technological shift as increased internet use revolutionized travel services. Through the s, online travel bookings grew exponentially, and by  global leader Expedia had expanded to include brands such as standardservices.com.pk, the Hotwire Group, trivago, and Expedia CruiseShip Centers, earning revenues of over $ million (Expedia Inc., ).

A more in-depth exploration of the impact of the online marketplace, and other trends in global tourism, is provided in Chapter But as you can already see, the impacts of the global tourism industry today are impressive and far reaching. Let&#;s have a closer look at some of these outcomes.

Tourism Impacts

Tourism impacts can be grouped into three main categories: economic, social, and environmental. These impacts are analyzed using data gathered by businesses, governments, and industry organizations.

Economic Impacts

According to a UNWTO report, in , &#;international tourism receipts exceeded US$1 trillion for the first time&#; (UNWTO, ). UNWTO Secretary-General Taleb Rifai stated this excess of $1 trillion was especially important news given the global economic crisis of , as tourism could help rebuild still-struggling economies, because it is a key export and labour intensive (UNWTO, ). 

Tourism around the world is now worth over $1 trillion annually, and it&#;s a growing industry almost everywhere. Regions with the highest growth in terms of tourism dollars earned are the Americas, Europe, Asia and the Pacific, and Africa. Only the Middle East posted negative growth at the time of the report (UNWTO, ).

While North and South America are growing the fastest, Europe continues to lead the way in terms of overall percentage of dollars earned (UNWTO, ):

  • Europe (45%)
  • Asia and the Pacific (28%)
  • North and South America (19%)
  • Middle East (4%)

Global industry growth and high receipts are expected to continue. In its August expenditure barometer, the UNWTO found worldwide visitation had increased by 22 million people in the first half of the year over the previous year, to reach million visits (UNWTO, a). As well, the UNWTO&#;s Tourism Vision predicts that international arrivals will reach nearly billion by  Read more about the Tourism Vision: standardservices.com.pk

Social Impacts

In addition to the economic benefits of tourism development, positive social impacts include an increase in amenities (e.g., parks, recreation facilities), investment in arts and culture, celebration of First Nations people, and community pride. When developed conscientiously, tourism can, and does, contribute to a positive quality of life for residents.

However, as identified by the United Nations Environment Programme (UNEP, a), negative social impacts of tourism can include:

  • Change or loss of indigenous identity and values
  • Culture clashes
  • Physical causes of social stress (increased demand for resources)
  • Ethical issues (such as an increase in sex tourism or the exploitation of child workers)

Some of these issues are explored in further detail in Chapter 12, which examines the development of Aboriginal tourism in British Columbia.

Environmental Impacts

Tourism relies on, and greatly impacts, the natural environment in which it operates. Even though many areas of the world are conserved in the form of parks and protected areas, tourism development can have severe negative impacts. According to UNEP (b), these can include:

  • Depletion of natural resources (water, forests, etc.)
  • Pollution (air pollution, noise, sewage, waste and littering)
  • Physical impacts (construction activities, marina development, trampling, loss of biodiversity)

The environmental impacts of tourism can reach outside local areas and have an effect on the global ecosystem. One example is increased air travel, which is a major contributor to climate change. Chapter 10 looks at the environmental impacts of tourism in more detail.

Whether positive or negative, tourism is a force for change around the world, and the industry is transforming at a staggering rate. But before we delve deeper into our understanding of tourism, let&#;s take a look at the development of the sector in our own backyard.

Canada Overview

Origins of Tourism in Canada

Tourism has long been a source of economic development for our country. Some argue that as early as the explorers of the day, such as Jacques Cartier, were Canada&#;s first tourists (Dawson, ), but most agree the major developments in Canada&#;s tourism industry followed milestones in the transportation sector: by rail, by car, and eventually, in the skies.

Railway Travel: The Ties That Bind

The dawn of the railway age in Canada came midway through the 19th century. The first railway was launched in (Library and Archives Canada, n.d.), and by the onset of World War I in , four railways dominated the Canadian landscape: Canadian Pacific Railway (CPR), Canadian Northern Railway (CNOR), the Grand Trunk Railway (GTR), and the Grand Trunk Pacific (GTP). Unfortunately, their rapid expansion soon brought the last three into near bankruptcy (Library and Archives Canada, n.d.).

In , these three rail companies were amalgamated into the Canadian National Railway (CNR), and together with the CPR, these trans-continentals dominated the Canadian travel landscape until other forms of transportation became more popular. In , with declining interest in rail travel, the CPR and CNR were forced to combine their passenger services to form VIA Rail (Library and Archives Canada, n.d.).

The Rise of the Automobile

The rising popularity of car travel was partially to blame for the decline in rail travel, although it took time to develop. When the first cross-country road trip took place in , there were only 16 kilometres of paved road across Canada (MacEachern, ). Cars were initially considered a nuisance, and the National Parks Branch banned entry to automobiles, but later slowly began to embrace them. By the s, some parks, such as Cape Breton Highlands National Park, were actually created to provide visitors with scenic drives (MacEachern, ).

It would take decades before a coast-to-coast highway was created, with the Trans-Canada Highway officially opening in Revelstoke in When it was fully completed in , it was the longest national highway in the world, spanning one-fifth of the globe (MacEachern, ).

Early Tourism Promotion

As early as , enterprising Canadians like the Brewsters became the country&#;s first tour operators, leading guests through areas such as Banff National Park (Brewster Travel Canada, ). Communities across Canada developed their own marketing strategies as transportation development took hold. For instance, the town of Maisonneuve in Quebec launched a campaign from to calling itself &#;Le Pittsburg du Canada.&#; And by  Quebec was spending $, promoting tourism, with Ontario, New Brunswick, and Nova Scotia also enjoying established provincial tourism bureaus (Dawson, ).

National Airlines

Our national airline, Air Canada, was formed in as Trans-Canada Air Lines. In many ways, Air Canada was a world leader in passenger aviation, introducing the world’s first computerized reservations system in (Globe and Mail, ). Through the s and s, reduced airfares saw increased mass travel. Competitors including Canadian Pacific (which became Canadian Airlines in ) began to launch international flights during this time to Australia, Japan, and South America (Canadian Geographic, ). By , Air Canada was facing financial peril and forced to restructure. A numbered company, owned in part by Air Canada, purchased 82% of Canadian Airline’s shares, with the result of Air Canada becoming the country’s only national airline (Canadian Geographic, ).

Parks and Protected Areas

A look at the evolution of tourism in Canada would be incomplete without a quick study of our national parks and protected areas. The official conserving of our natural spaces began around the same time as the railway boom, and in Banff was established as Canada&#;s first national park. By , the Dominion Forest Reserves and Parks Act created the Dominion Parks Branch, the first of its kind in the world (Shoalts, ).

The systemic conservation and celebration of Canada&#;s parks over the next century would help shape Canada&#;s identity, both at home and abroad. Through the s, conservation officers and interpreters were hired to enhance visitor experiences. By , the National Park System Plan divided Canada into 39 regions, with the goal of preserving each distinct ecosystem for future generations. In , the country&#;s first national marine park was established in Ontario, and in the 20 years that followed, 10 new national parks and marine conservation areas were created (Shoalts, ).

The role of parks and protected areas in tourism is explored in greater detail in Chapter 5 (recreation) and Chapter 10 (environmental stewardship).

Global Shock and Industry Decline

As with the global industry, Canada&#;s tourism industry was impacted by world events such as the Great Depression and the World Wars.

More recently, global events such as 9/11, the SARS outbreak, and the war in Iraq took their toll on tourism receipts. Worldwide arrivals to Canada dropped 1% to million in , after three years of stagnant growth. In , spending reached $ billion with domestic travel accounting for 71% (Government of Canada, ).

Tourism in Canada Today

In , tourism created $ billion in total economic activity and , jobs. Tourism accounted for more of Canada&#;s gross domestic product (GDP) than agriculture, forestry, and fisheries combined (Tourism Industry Association of Canada, ).

Spotlight On: The Tourism Industry Association of Canada (TIAC)

Founded in and based in Ottawa, the Tourism Industry Association of Canada (TIAC) is the national private-sector advocate for the industry. Its goal is to support policies and programs that help the industry grow, while representing over members including airports, concert halls, festivals and events, travel services providers, and businesses of all sizes. For more information, visit the Tourism Industry Association of Canada&#;s website: standardservices.com.pk

Unfortunately, while overall receipts from tourism appear healthy, and globally the industry is growing, according to a recent report, Canada&#;s historic reliance on the US market (which traditionally accounts for 75% of our market) is troubling. Because three out of every four international visitors to Canada originates in the United States, the 55% decline in that market since is being very strongly felt here. Many feel the decline in American visitors to Canada can be attributed to tighter passport and border regulations, the economic downturn (including the global economic crisis), and a stronger Canadian dollar (TIAC, ).

Despite disappointing numbers from the United States, Canada continues to see strong visitation from the United Kingdom, France, Germany, Australia, and China. In , we welcomed 3,, tourists from our top 15 inbound countries (excluding the United States). Canadians travelling domestically accounted for 80% of tourism revenues in the country, and TIAC suggested that a focus on rebounding US visitation would help grow the industry (TIAC, ).

Spotlight On: The Canadian Tourism Commission

Housed in Vancouver, Destination Canada, previously the Canadian Tourism Commission (CTC), is responsible for promoting Canada in several foreign markets: Australia, Brazil, China, France, Germany, India, Japan, Mexico, South Korea, the United Kingdom, and the United States. It works with private companies, travel services providers, meeting professionals, and government organizations to help leverage Canada’s tourism brand, Canada. Keep Exploring. It also conducts research and has a significant image library (Canadian Tourism Commission, ). For more information, visit Destination Canada website: standardservices.com.pk

As organizations like TIAC work to confront barriers to travel, the Canadian Tourism Commission (CTC) is active abroad, encouraging more visitors to explore our country. In Chapter 8, we&#;ll delve more into the challenges and triumphs of selling tourism at home and abroad.

The great news for British Columbia is that once in Canada, most international visitors tend to remain in the province they landed in, and BC is one of three provinces that receives the bulk of this traffic (TIAC, ). In fact, BC&#;s tourism industry is one of the healthiest in Canada today. Let&#;s have a look at how our provincial industry was established and where it stands now.

British Columbia Overview

Origins of Tourism in BC

As with the history of tourism in Canada, it&#;s often stated that the first tourists to BC were explorers. In , Captain James Cook touched down on Vancouver Island, followed by James Douglas in , a British agent who had been sent to find new headquarters for the Hudson&#;s Bay Company, ultimately choosing Victoria. Through the s, BC&#;s gold rush attracted prospectors from around the world, with towns and economies springing up along the trail (PricewaterhouseCoopers, ).

Railway Travel: Full Steam Ahead!

The development of BC&#;s tourism industry began in earnest in the late s when the CPR built accommodation properties along itsnewly completed trans-Canada route, capturing revenues from overnight stays to help alleviate their increasing corporate debt. Following the construction of small lodges at stops in Field, Rogers Pass, and Fraser Canyon, the CPR opened the Hotel Vancouver in May (Dawson, ).

As opposed to Atlantic Canada, where tourism promotion centred around attracting hunters and fishermen for a temporary infusion of cash, in British Columbia tourism was seen as a way to lure farmers and settlers to stay in the new province. Industry associations began to form quickly: the Tourist Association of Victoria (TAV) in February , and the Vancouver Tourist Association in June of the same year (Dawson, ).

Many of the campaigns struck by these and other organizations between and centred on the province&#;s natural assets, as people sought to escape modern convenience and enjoy the environment. A collaborative group called the Pacific Northwest Travel Association (BC, Washington, and Oregon) promoted &#;The Pacific Northwest: The World&#;s Greatest Out of Doors,&#; calling BC &#;The Switzerland of North America.&#; Promotions like these seemed to have had an effect: in , over , tourists visited Victoria, spending over $ million (Dawson, ).

The Great Depression and World War II

As the world&#;s economy was sent into peril during the Great Depression in the s, tourism was seen as an economic solution. A newly renamed Greater Victoria Publicity Bureau touted a &#; for 1&#; multiplier effect of tourism spending, with visitor revenues accounting for around % of BC&#;s income in  By , an organization known as the TTDA (Tourist Trade Development Association of Victoria and Vancouver Island) looked to create a more stable industry through strategies to increase visitors&#; length of stay (Dawson, ).

In , the provincial Bureau of Industrial and Tourist Development (BITD) was formed through special legislation with a goal of increasing tourist traffic. By , the organization changed its name to the British Columbia Government Travel Bureau (BCGTB) and was granted a budget increase to $, This was soon followed by an expansion of the BC Tourist Council designed to solicit input from across the province. And in , Vancouver welcomed the King and Queen of England and celebrated the opening of the Lions Gate Bridge, activities that reportedly bolstered tourism numbers (Dawson, ).

The December Japanese attack on Pearl Harbor in Hawaii had negative repercussions for tourism on the Pacific Rim and was responsible for an era of decreased visitation to British Columbia, despite attempts by some to market the region as exciting. From to , US visits to Vancouver (measured at the border) dropped from over , to approximately , Just two years later, however, that number jumped to ,, the result of campaigns like the initiative aimed at Americans that marketed BC as &#;comrades in war&#; (Dawson, ).

Post-War Rebound

We, with all due modesty, cannot help but claim that we are entering British Columbia&#;s half-century, and cannot help but observe that B.C. also stands for BOOM COUNTRY. &#; Phil Gagliardi, BC Minister of Highways, (Dawson, , p)

A burst of post-war spending began in , and although short-lived, was supported by steady government investment in marketing throughout the s. As tourism grew in BC, however, so did competition for US dollars from Mexico, the Caribbean, and Europe. The decade that followed saw an emphasis on promoting BC&#;s history, its &#;Britishness,&#; and a commodification of Aboriginal culture. The BCGTB began marketing efforts to extend the travel season, encouraging travel in September, prime fishing season. It also tried to push visitors to specific areas, including the Lower Fraser Valley, the Okanagan-Fraser Canyon Loop, and the Kamloops-Cariboo region (Dawson, ).

In , Vancouver hosted the British Empire Games, investing in the construction of Empire Stadium. A few years later, an increased emphasis on events and convention business saw the Greater Vancouver Tourist Association change its name in to the Greater Vancouver Visitors and Convention Bureau (PricewaterhouseCoopers, ).

The ski industry was also on the rise: in , the lodge and chairlift on Tod Mountain (now Sun Peaks) opened, and Whistler followed suit five years later (PricewaterhouseCoopers, ). Ski partners became pioneers of collaborative marketing in the province with the foundation of the Ski Marketing Advisory Committee (SMAC) supported by Tod Mountain and Big White, evolving into today&#;s Canada’s West Ski Area Association (Magnes, ). This pioneer spirit was evident across the ski sector: the entire sport of heliskiing was invented by Hans Gosmer of BC&#;s Canadian Mountain Holidays, and today the province holds 90% of the world&#;s heliskiing market share (McLeish, ).

The concept of collaboration extended throughout the province as innovative funding structures saw the cost of marketing programs shared between government and industry in BC. These programs were distributed through regional channels (originally eight regions in the province), and considered “the most constructive and forward looking plan of its kind in Canada” (Dawson , p).

Tourism in BC continued to grow through the s. In , the Hotel Room Tax Act was introduced, allowing for a 5% tax to be collected on room nights with the funds collected to be put toward marketing and development. By , construction had begun on Whistler Village, with Blackcomb Mountain opening two years later (PricewaterhouseCoopers, ). Funding programs in the late s and early s such as the Canada BC Tourism Agreement (CBCTA) and Travel Industry Development Subsidiary Agreement (TIDSA) allowed communities to invest in projects that would make them more attractive tourism destinations. In the mountain community of Kimberley, for instance, the following improvements were implemented through a $ million forgivable loan: a new road to the ski resort, a covered tennis court, a mountain lodge, an alpine slide, and nine more holes for the golf course (e-Know, ).

Around the same time, the &#;Super, Natural British Columbia&#; brand was introduced, and a formal bid was approved for Vancouver to host a fair then known as Transpo 86 (later Expo 86). Tourism in the province was about to truly take off.

Expo 86 and Beyond

By the time the world fair Expo 86 came to a close in October , it had played host to 20,, guests. Infrastructure developments, including rapid rail, airport improvements, a new trade and convention centre at Canada Place (with a cruise ship terminal), and hotel construction, had positioned the city and the province for further growth (PricewaterhouseCooopers, ). The construction and opening of the Coquihalla Highway through to enhanced the travel experience and reduced travel times to vast sections of the province (Magnes, ).

Take a Closer Look: The Value of Tourism

Tourism Vancouver Island, with the support of many partners, has created a website that directly addresses the value of tourism in the region. The site looks at the economics of tourism, social benefits of tourism, and a &#;what&#;s your role?&#; feature that helps users understand where they fit in. Explore the Tourism Vancouver Island website: standardservices.com.pk

By , Vancouver International Airport (YVR) was named number one in the world by the International Air Transport Association’s survey of international passengers. Five years later, the airport welcomed a record million passengers (PricewaterhouseCoopers, ).

Going for Gold

In , the International Olympic Committee named Vancouver/Whistler as the host city for the Olympic and Paralympic Winter Games. Infrastructure development followed, including the expansion of the Sea-to-Sky Highway, the creation of Vancouver Convention Centre West, and the construction of the Canada Line, a rapid transport line connecting the airport with the city&#;s downtown.

As BC prepared to host the Games, its international reputation continued to grow. Vancouver was voted “Best City in the Americas” by Condé Nast Traveller magazine three years in a row. Kelowna was named “Best Canadian Golf City” by Canada’s largest golf magazine, and BC was named the “Best Golf Destination in North America” by the International Association of Golf Tour Operators. Kamloops, known as Canada’s Tournament City, hosted over sports tournaments that same year, and nearby Sun Peaks Resort was named the “Best Family Resort in North America” by the Great Skiing and Snowboarding Guide in (PricewaterhouseCoopers, ).

By the time the Vancouver Olympic and Paralympic Games took place, over 80 participating countries, 6, athletes, and 3 billion viewers put British Columbia on centre stage.

Spotlight On: Destination British Columbia

Destination BC is a Crown corporation founded in November by the Government of British Columbia. Its mandate includes marketing the province as a tourist destination (at home and around the world), promoting the development and growth of the industry, providing advice and recommendations to the tourism minister on related matters, and enhancing public awareness of tourism and its economic value to British Columbia (Province of British Columbia, b).

Tourism in BC Today

Building on the momentum generated by hosting the Winter Olympic Games, tourism in BC remains big business. In , the industry generated $ billion in revenue.

The provincial industry is made up of over 18, businesses, the majority of which are SMEs (small to medium enterprises), and together they employ approximately , people (Tourism Industry Association of BC, ). It may surprise you to learn that in British Columbia, tourism provides more jobs than high tech, oil and gas, mining, and forestry (Porges, ).

Spotlight On: The Tourism Industry Association of BC

Founded in  as the Council of Tourism Associations, today the Tourism Industry Association of BC (TIABC) is a not-for-profit trade association comprising members from private sector tourism businesses, industry associations, and destination marketing organizations(DMOs). Its goal is to ensure the best working environment for a competitive tourism industry. It hosts industry networking events and engages in advocacy efforts as &#;the voice of the BC tourism industry.&#; Students are encouraged to join TIABC to take advantage of their connections and receive a discount at numerous industry events. For more information, visit the Tourism Industry Association of BC&#;s website: standardservices.com.pk

One of the challenges for BC&#;s tourism industry, it has long been argued, is fragmentation. Back in September , an article in the Victoria Daily Times argued for more coordination across organizations in order to capitalize on what they saw as Canada&#;s &#;largest dividend payer&#; (Dawson, ). Today, more than 80 years later, you will often hear BC tourism professionals say the same thing.

On the other hand, some experts believe that the industry is simply a model of diversity, acknowledging that tourism is a compilation of a multitude of businesses, services, organizations, and communities. They see the ways in which these components are working together toward success, rather than focusing on friction between the groups.

Many communities are placing a renewed focus on educating the general public and other businesses about the value of tourism and the ways in which stakeholders work together. The following case study highlights this in more detail:

Take a Closer Look: Tourism Pays in Richmond, BC

The community of Richmond, BC, brings to life the far-reaching positive economic effects of tourism in action. Watch the short video called &#;Tourism Pays&#; to see what we mean!: standardservices.com.pk

Throughout the rest of this textbook, you&#;ll have a chance to learn more about the history and current outlook for tourism in BC, with in-depth coverage of some of the triumphs and challenges we&#;ve faced as an industry. You will also learn about the Canadian and global contexts of the tourism industry&#;s development.

Conclusion

As we&#;ve seen in this chapter, tourism is a complex set of industries including accommodation, recreation and entertainment, food and beverage services, transportation, and travel services. It encompasses domestic, inbound, and outbound travel for business, leisure, or other purposes. And because of this large scope, tourism development requires participation from all walks of life, including private business, governmental agencies, educational institutions, communities, and citizens.

Recognizing the diverse nature of the industry and the significant contributions tourism makes toward economic and social value for British Columbians is important. There remains a great deal of work to better educate members of the tourism industry, other sectors, and the public about the ways tourism contributes to our province.

Given this opportunity for greater awareness, it is hoped that students like you will help share this information as you learn more about the sector. So let&#;s begin our exploration in Chapter 2 with a closer look at a critical sector: transportation.

Key Terms

  • British Columbia Government Travel Bureau (BCGTB): the first recognized provincial government organization responsible for the tourism marketing of British Columbia
  • Canadian Pacific Railway (CPR): a national railway company widely regarded as establishing tourism in Canada and BC in the late s and early s
  • Destination BC: the provincial destination marketing organization (DMO) responsible for tourism marketing and development in BC, formerly known as Tourism BC
  • Destination Canada: the national government Crown corporation responsible for marketing Canada abroad, formerly known as the Canadian Tourism Commission (CTC)
  • Destination marketing organization (DMO): also known as a destination management organization; includes national tourism boards, state/provincial tourism offices, and community convention and visitor bureaus
  • Diversity: a term used by some in the industry to describe the makeup of the industry in a positive way; acknowledging that tourism is a diverse compilation of a multitude of businesses, services, organizations, and communities
  • Fragmentation: a phenomenon observed by some industry insiders whereby the tourism industry is unable to work together toward common marketing and lobbying (policy-setting) objectives
  • Hospitality: the accommodations and food and beverage industry groupings
  • North American Industry Classification System (NAICS): a way to group tourism activities based on similarities in business practices, primarily used for statistical analysis
  • Tourism: the business of attracting and serving the needs of people travelling and staying outside their home communities for business and pleasure
  • Tourism Industry Association of BC (TIABC): a membership-based advocacy group formerly known as the Council of Tourism Associations of BC (COTA)
  • Tourism Industry Association of Canada (TIAC): the national industry advocacy group
  • Tourist: someone who travels at least 80 kilometres from his or her home for at least 24 hours, for business or pleasure or other reasons; can be further classified as domestic, inbound, or outbound
  • United Nations World Tourism Organization (UNWTO): UN agency responsible for promoting responsible, sustainable, and universally accessible tourism worldwide

Exercises

  1. List the three types of tourist and provide an example of each.
  2. What is the UNWTO? Visit its website, and name one recent project or study the organization has undertaken.
  3. List the five industry groups according to the North American Industry Classification System (NAICS). Using your  understanding of tourism as an industry, create your own definition and classification of tourism. What did you add? What did you take out? Why?
  4. In , how much money was generated by tourism worldwide? What percentage of this money was collected in Europe? Where was the least amount of money collected?
  5. According to UNEP, what are the four types of negative environmental tourism impact? For each of these, list an example in your own community.
  6. What major transportation developments gave rise to the tourism industry in Canada?
  7. Historically, what percentage of international visitors to Canada are from the United States? Why is this an important issue today?
  8. Name three key events in the history of BC tourism that resonate with you. Why do you find these events of interest?
  9. Watch the video in the &#;Take a Closer Look&#; feature on Richmond. Now think about the value of tourism in your community. How might this be communicated to local residents? List two ways you will contribute to communicating the value of tourism this semester. 
  10. Choose one article or document from the reference list below and read it in detail. Report back to the class about what you&#;ve learned.

Case Study: Tourism &#; Canada&#;s Surprise Blind Spot

In a  episode of the Voice of Canadian Business, the Canadian Chamber of Commerce&#;s podcast, host Mary Anne Carter sat down with Greg Klassen, the CTC’s president and CEO, and Michele Saran, executive director of Business Events Canada. Their discussion highlighted the reasons Canada is struggling to remain competitive within the sector, and underscores the role and impact Canada’s tourism industry has on the standardservices.com.pk to the minute podcast on tourism in Canada and answer the following questions: standardservices.com.pk

  1. Why are governments around the world starting to invest in tourism infrastructure? What does this mean for the competitive environment for Canada&#;s tourism product?
  2. How do we compare to the United States as a destination for business travel?
  3. According to Greg, why is the $ million investment in Brand USA a &#;double-edged sword&#; for tourism in Canada? What is beneficial about this? Why does it make things more difficult?
  4. What is the relationship between tourism and people&#;s understanding of a country&#;s image?
  5. What ranking is Canada&#;s brand? What other industries are affected by this brand?
  6. Describe one activity the CTC participates in to sell Canadian tourism product abroad.
  7. Name two &#;sectors of excellence&#; for Canada. Why is the CTC focussing their business events sales strategies on these industries?
  8. What does the CTC consider to be the benefits of Vancouver hosting the and TED conferences?

References

Brewster Travel Canada. (). About Us &#; Brewster History. Retrieved from standardservices.com.pk

British Columbia Ministry of Jobs, Tourism and Skills Training. (a). BC Stats: Industry Classification. Retrieved from standardservices.com.pk

British Columbia Ministry of Jobs, Tourism and Skills Training. (b). Bill 3 &#; Destination BC Corp Act. Retrieved from standardservices.com.pk

Canadian Geographic. (, September). Flying through time: Canadian aviation history. Retrieved from standardservices.com.pk

Canadian Tourism Commission. (). About the CTC. Retrieved from standardservices.com.pk

Chaney, Edward. (). The evolution of the grand tour: Anglo-Italian cultural relations since the Renaissance. Portland OR: Routledge.

Cox & Kings. (). About us &#; History. Retrieved from standardservices.com.pk

Dawson, Michael. (). Selling British Columbia: Tourism and consumer culture, . Vancouver, BC: UBC Press.

Discover Hospitality. (). What is hospitality? Retrieved from standardservices.com.pk

e-Know. (, November). Ogilvie’s past in lock step with last 50 years of Kimberley’s history. Retrieved from standardservices.com.pk’s-past-in-lock-step-with-lastyears-of-kimberley’s-history/

Expedia, Inc. (). Expedia: Annual report [PDF] Retrieved from standardservices.com.pk

Flightglobal. (). Sixty years of the jet age. Retrieved from standardservices.com.pk

Globe and Mail, The. (, March 28). Ten things you don&#;t know about Air Canada. Retrieved from standardservices.com.pk?page=all

Government of Canada. (). Building a national tourism strategy. [PDF] Retrieved from standardservices.com.pk$FILE/tourism_standardservices.com.pk

Government of Canada. (, July 5). Appendix E: Tourism industries in the human resource module. Retrieved from standardservices.com.pk

Griffiths, Ralph, Griffiths, G. E. (). Pennant&#;s tour in Scotland in The Monthly Review; or, Literary Journal XLVI:  Retrieved from Google Books. 

Gyr, Ueli. (, December 3). The history of tourism: Structures on the path to modernity.European History Online (EHO). Retrieved from standardservices.com.pk

Latin definition for hospes, hospitis. ().In Latdict &#; Latin Dictionary and Grammar Resources.  Retrieved from standardservices.com.pk

Library and Archives Canada. (n.d.). Ties that bind: Essay.A brief history of railways in Canada. Retrieved from standardservices.com.pk

LinkBC. (). Transforming communities through tourism: A handbook for community tourism champions. [PDF] Retrieved from standardservices.com.pk

MacEachern, A. (, August 17). Goin’ down the road: The story of the first cross-Canada car trip.The Globe and Mail. Retrieved from standardservices.com.pk

McLeish. (, July 23). History of heliskiing in Canada. Retrieved from standardservices.com.pk

Magnes, W. (, May 26). The evolution of British Columbia&#;s tourism regions: [PDF]. Retrieved from standardservices.com.pk

Porges, R. (, September). Tell me something I don&#;t know: Promoting the value of tourism. Tourism Drives the Provincial Economy. Presentation hosted by the Tourism Industry Association of BC, Vancouver, BC.

PricewaterhouseCooopers, LLC. (). Opportunity BC Tourism sector. [PDF] Prepared for the BC Business Council. Retrieved from standardservices.com.pk

Shoalts, A. (, April). How our national parks evolved: From Grey Owl to Chrétien and beyond, years of Parks Canada.Canadian Geographic. Retrieved from standardservices.com.pk

Theobald, William F. (). Global Tourism (2nd ed.). Oxford, England: Butterworth–Heinemann, pp. 

Thomas Cook Group of Companies. (). Thomas Cook history. Retrieved from standardservices.com.pk

Tourism Industry Association of BC. (). Value of tourism toolkit: Why focus on the value of tourism? Retrieved from standardservices.com.pk

Tourism Industry Association of Canada. (, October 14). Travel industry poised to boost Canadian exports: US market and border efficiencies central to growth potential. Retrieved from standardservices.com.pk

Tourism Industry Association of Canada, HLT Advisory. (). The Canadian tourism industry: A special report [PDF]. Retrieved from standardservices.com.pk

United Nations and World Tourism Organization. (). Recommendations on tourism statistics. [PDF] Retrieved from standardservices.com.pk

United Nations Environment Programme. (a). Negatives Socio-cultural impacts from tourism. Retrieved from standardservices.com.pk

United Nations Environment Programme. (b). Tourism&#;s three main impact areas. Retrieved from standardservices.com.pk

United Nations World Tourism Organization. (). Understanding tourism: Basic glossary. Retrieved from standardservices.com.pk

United Nations World Tourism Organization. (, May 7). International tourism receipts surpass US$ 1 trillion in Retrieved from standardservices.com.pk

United Nations World Tourism Organization. (a). UNWTO world tourism barometer, 12 [PDF] (1). Retrieved from standardservices.com.pk

United Nations World Tourism Organization. (b). Who we are. Retrieved from standardservices.com.pk

Attributions

Figure  Selkirk College and Nelson by LinkBC is used under a CC-BY  license.

Figure Capilano University&#;s Team by LinkBC is used under a CC-BY  license.

Figure Vancouver Island University by LinkBC is used under a CC-BY  license.

Figure  Canadian Pacific Am No  by Peter Broster is used under a CC-BY  license.

Figure Vancouver Island University by LinkBC is used under a CC-BY  license.

Figure Switzerland vs. Canada by standardservices.com.pk is used under a CC-BY  license.

Figure CTC&#;s Boardroom by LinkBC is used under a CC-BY  license.

Источник: [standardservices.com.pk]
1st Choics Browse 98 v4.0 serial key or number

Recommender system

Parts of this article (those related to documentation) need to be updated. Please update this article to reflect recent events or newly available information.(April )

A recommender system, or a recommendation system (sometimes replacing 'system' with a synonym such as platform or engine), is a subclass of information filtering system that seeks to predict the "rating" or "preference" a user would give to an item.[1][2] They are primarily used in commercial applications.

Recommender systems are utilized in a variety of areas and are most commonly recognized as playlist generators for video and music services like Netflix, YouTube and Spotify, product recommenders for services such as Amazon, or content recommenders for social media platforms such as Facebook and Twitter.[3] These systems can operate using a single input, like music, or multiple inputs within and across platforms like news, books, and search queries. There are also popular recommender systems for specific topics like restaurants and online dating. Recommender systems have also been developed to explore research articles and experts,[4] collaborators,[5] and financial services.[6]

Overview[edit]

Recommender systems usually make use of either or both collaborative filtering and content-based filtering (also known as the personality-based approach),[7] as well as other systems such as knowledge-based systems. Collaborative filtering approaches build a model from a user's past behavior (items previously purchased or selected and/or numerical ratings given to those items) as well as similar decisions made by other users. This model is then used to predict items (or ratings for items) that the user may have an interest in.[8] Content-based filtering approaches utilize a series of discrete, pre-tagged characteristics of an item in order to recommend additional items with similar properties.[9] Current recommender systems typically combine one or more approaches into a hybrid system.

The differences between collaborative and content-based filtering can be demonstrated by comparing two early music recommender systems – standardservices.com.pk and Pandora Radio.

  • standardservices.com.pk creates a "station" of recommended songs by observing what bands and individual tracks the user has listened to on a regular basis and comparing those against the listening behavior of other users. standardservices.com.pk will play tracks that do not appear in the user's library, but are often played by other users with similar interests. As this approach leverages the behavior of users, it is an example of a collaborative filtering technique.
  • Pandora uses the properties of a song or artist (a subset of the attributes provided by the Music Genome Project) to seed a "station" that plays music with similar properties. User feedback is used to refine the station's results, deemphasizing certain attributes when a user "dislikes" a particular song and emphasizing other attributes when a user "likes" a song. This is an example of a content-based approach.

Each type of system has its strengths and weaknesses. In the above example, standardservices.com.pk requires a large amount of information about a user to make accurate recommendations. This is an example of the cold start problem, and is common in collaborative filtering systems.[10][11][12][13] Whereas Pandora needs very little information to start, it is far more limited in scope (for example, it can only make recommendations that are similar to the original seed).

Recommender systems are a useful alternative to search algorithms since they help users discover items they might not have found otherwise. Of note, recommender systems are often implemented using search engines indexing non-traditional data.

Recommender systems were first mentioned in a technical report as a "digital bookshelf" in by Jussi Karlgren at Columbia University,[14] and implemented at scale and worked through in technical reports and publications from onwards by Jussi Karlgren, then at SICS,[15][16] and research groups led by Pattie Maes at MIT,[17] Will Hill at Bellcore,[18] and Paul Resnick, also at MIT[19][20] whose work with GroupLens was awarded the ACM Software Systems Award.

Montaner provided the first overview of recommender systems from an intelligent agent perspective.[21] Adomavicius provided a new, alternate overview of recommender systems.[22] Herlocker provides an additional overview of evaluation techniques for recommender systems,[23] and Beel et al. discussed the problems of offline evaluations.[24] Beel et al. have also provided literature surveys on available research paper recommender systems and existing challenges.[25][26][27]

Recommender systems have been the focus of several granted patents. [28][29][30][31][32]

Approaches[edit]

Collaborative filtering[edit]

An example of collaborative filtering based on a ratings system

One approach to the design of recommender systems that has wide use is collaborative filtering.[33] Collaborative filtering is based on the assumption that people who agreed in the past will agree in the future, and that they will like similar kinds of items as they liked in the past. The system generates recommendations using only information about rating profiles for different users or items. By locating peer users/items with a rating history similar to the current user or item, they generate recommendations using this neighborhood. Collaborative filtering methods are classified as memory-based and model-based. A well-known example of memory-based approaches is the user-based algorithm,[34] while that of model-based approaches is the Kernel-Mapping Recommender.[35]

A key advantage of the collaborative filtering approach is that it does not rely on machine analyzable content and therefore it is capable of accurately recommending complex items such as movies without requiring an "understanding" of the item itself. Many algorithms have been used in measuring user similarity or item similarity in recommender systems. For example, the k-nearest neighbor (k-NN) approach[36] and the Pearson Correlation as first implemented by Allen.[37]

When building a model from a user's behavior, a distinction is often made between explicit and implicit forms of data collection.

Examples of explicit data collection include the following:

  • Asking a user to rate an item on a sliding scale.
  • Asking a user to search.
  • Asking a user to rank a collection of items from favorite to least favorite.
  • Presenting two items to a user and asking him/her to choose the better one of them.
  • Asking a user to create a list of items that he/she likes (see Rocchio classification or other similar techniques).

Examples of implicit data collection include the following:

  • Observing the items that a user views in an online store.
  • Analyzing item/user viewing times.[38]
  • Keeping a record of the items that a user purchases online.
  • Obtaining a list of items that a user has listened to or watched on his/her computer.
  • Analyzing the user's social network and discovering similar likes and dislikes.

Collaborative filtering approaches often suffer from three problems: cold start, scalability, and sparsity.[39]

  • Cold start: For a new user or item, there isn't enough data to make accurate recommendations.[10][11][12]
  • Scalability: In many of the environments in which these systems make recommendations, there are millions of users and products. Thus, a large amount of computation power is often necessary to calculate recommendations.
  • Sparsity: The number of items sold on major e-commerce sites is extremely large. The most active users will only have rated a small subset of the overall database. Thus, even the most popular items have very few ratings.

One of the most famous examples of collaborative filtering is item-to-item collaborative filtering (people who buy x also buy y), an algorithm popularized by standardservices.com.pk's recommender system.[40]

Many social networks originally used collaborative filtering to recommend new friends, groups, and other social connections by examining the network of connections between a user and their friends.[1] Collaborative filtering is still used as part of hybrid systems.

Content-based filtering[edit]

Another common approach when designing recommender systems is content-based filtering. Content-based filtering methods are based on a description of the item and a profile of the user's preferences.[41][42] These methods are best suited to situations where there is known data on an item (name, location, description, etc.), but not on the user. Content-based recommenders treat recommendation as a user-specific classification problem and learn a classifier for the user's likes and dislikes based on an item's features.

In this system, keywords are used to describe the items and a user profile is built to indicate the type of item this user likes. In other words, these algorithms try to recommend items that are similar to those that a user liked in the past, or is examining in the present. It does not rely on a user sign-in mechanism to generate this often temporary profile. In particular, various candidate items are compared with items previously rated by the user and the best-matching items are recommended. This approach has its roots in information retrieval and information filtering research.

To create a user profile, the system mostly focuses on two types of information:

1. A model of the user's preference.

2. A history of the user's interaction with the recommender system.

Basically, these methods use an item profile (i.e., a set of discrete attributes and features) characterizing the item within the system. To abstract the features of the items in the system, an item presentation algorithm is applied. A widely used algorithm is the tf–idf representation (also called vector space representation).[43] The system creates a content-based profile of users based on a weighted vector of item features. The weights denote the importance of each feature to the user and can be computed from individually rated content vectors using a variety of techniques. Simple approaches use the average values of the rated item vector while other sophisticated methods use machine learning techniques such as Bayesian Classifiers, cluster analysis, decision trees, and artificial neural networks in order to estimate the probability that the user is going to like the item.[44]

A key issue with content-based filtering is whether the system is able to learn user preferences from users' actions regarding one content source and use them across other content types. When the system is limited to recommending content of the same type as the user is already using, the value from the recommendation system is significantly less than when other content types from other services can be recommended. For example, recommending news articles based on browsing of news is useful, but would be much more useful when music, videos, products, discussions etc. from different services can be recommended based on news browsing. To overcome this, most content-based recommender systems now use some form of hybrid system.

Content-based recommender systems can also include opinion-based recommender systems. In some cases, users are allowed to leave text review or feedback on the items. These user-generated texts are implicit data for the recommender system because they are potentially rich resource of both feature/aspects of the item, and users' evaluation/sentiment to the item. Features extracted from the user-generated reviews are improved meta-data of items, because as they also reflect aspects of the item like meta-data, extracted features are widely concerned by the users. Sentiments extracted from the reviews can be seen as users' rating scores on the corresponding features. Popular approaches of opinion-based recommender system utilize various techniques including text mining, information retrieval, sentiment analysis (see also Multimodal sentiment analysis) and deep learning [45].

Multi-criteria recommender systems[edit]

Multi-criteria recommender systems (MCRS) can be defined as recommender systems that incorporate preference information upon multiple criteria. Instead of developing recommendation techniques based on a single criterion value, the overall preference of user u for the item i, these systems try to predict a rating for unexplored items of u by exploiting preference information on multiple criteria that affect this overall preference value. Several researchers approach MCRS as a multi-criteria decision making (MCDM) problem, and apply MCDM methods and techniques to implement MCRS systems.[46] See this chapter[47] for an extended introduction.

Risk-aware recommender systems[edit]

The majority of existing approaches to recommender systems focus on recommending the most relevant content to users using contextual information, yet do not take into account the risk of disturbing the user with unwanted notifications. It is important to consider the risk of upsetting the user by pushing recommendations in certain circumstances, for instance, during a professional meeting, early morning, or late at night. Therefore, the performance of the recommender system depends in part on the degree to which it has incorporated the risk into the recommendation process. One option to manage this issue is DRARS, a system which models the context-aware recommendation as a bandit problem. This system combines a content-based technique and a contextual bandit algorithm.[48]

Mobile recommender systems[edit]

Mobile recommender systems make use of internet-accessing smart phones to offer personalized, context-sensitive recommendations. This is a particularly difficult area of research as mobile data is more complex than data that recommender systems often have to deal with. It is heterogeneous, noisy, requires spatial and temporal auto-correlation, and has validation and generality problems.[49]

There are three factors that could affect the mobile recommender systems and the accuracy of prediction results: the context, the recommendation method and privacy.[50] Additionally, mobile recommender systems suffer from a transplantation problem – recommendations may not apply in all regions (for instance, it would be unwise to recommend a recipe in an area where all of the ingredients may not be available).

One example of a mobile recommender system are the approaches taken by companies such as Uber and Lyft to generate driving routes for taxi drivers in a city.[49] This system uses GPS data of the routes that taxi drivers take while working, which includes location (latitude and longitude), time stamps, and operational status (with or without passengers). It uses this data to recommend a list of pickup points along a route, with the goal of optimizing occupancy times and profits.

Mobile recommendation systems have also been successfully built using the "Web of Data" as a source for structured information. A good example of such system is SMARTMUSEUM[51] The system uses semantic modelling, information retrieval, and machine learning techniques in order to recommend content matching user interests, even when presented with sparse or minimal user data.

Hybrid recommender systems[edit]

Most recommender systems now use a hybrid approach, combining collaborative filtering, content-based filtering, and other approaches . There is no reason why several different techniques of the same type could not be hybridized. Hybrid approaches can be implemented in several ways: by making content-based and collaborative-based predictions separately and then combining them; by adding content-based capabilities to a collaborative-based approach (and vice versa); or by unifying the approaches into one model (see[22] for a complete review of recommender systems). Several studies that empirically compare the performance of the hybrid with the pure collaborative and content-based methods and demonstrated that the hybrid methods can provide more accurate recommendations than pure approaches. These methods can also be used to overcome some of the common problems in recommender systems such as cold start and the sparsity problem, as well as the knowledge engineering bottleneck in knowledge-based approaches.[52]

Netflix is a good example of the use of hybrid recommender systems.[53] The website makes recommendations by comparing the watching and searching habits of similar users (i.e., collaborative filtering) as well as by offering movies that share characteristics with films that a user has rated highly (content-based filtering).

Some hybridization techniques include:

  • Weighted: Combining the score of different recommendation components numerically.
  • Switching: Choosing among recommendation components and applying the selected one.
  • Mixed: Recommendations from different recommenders are presented together to give the recommendation.
  • Feature Combination: Features derived from different knowledge sources are combined together and given to a single recommendation algorithm.
  • Feature Augmentation: Computing a feature or set of features, which is then part of the input to the next technique.
  • Cascade: Recommenders are given strict priority, with the lower priority ones breaking ties in the scoring of the higher ones.
  • Meta-level: One recommendation technique is applied and produces some sort of model, which is then the input used by the next technique.[54]

The Netflix Prize[edit]

One of the events that energized research in recommender systems was the Netflix Prize. From to , Netflix sponsored a competition, offering a grand prize of $1,, to the team that could take an offered dataset of over million movie ratings and return recommendations that were 10% more accurate than those offered by the company's existing recommender system. This competition energized the search for new and more accurate algorithms. On 21 September , the grand prize of US$1,, was given to the BellKor's Pragmatic Chaos team using tiebreaking rules.[55]

The most accurate algorithm in used an ensemble method of different algorithmic approaches, blended into a single prediction. As stated by the winners, Bell et al.:[56]

Predictive accuracy is substantially improved when blending multiple predictors. Our experience is that most efforts should be concentrated in deriving substantially different approaches, rather than refining a single technique. Consequently, our solution is an ensemble of many methods.

Many benefits accrued to the web due to the Netflix project. Some teams have taken their technology and applied it to other markets. Some members from the team that finished second place founded Gravity R&D, a recommendation engine that's active in the RecSys community.[55][57] 4-Tell, Inc. created a Netflix project–derived solution for ecommerce websites.

A number of privacy issues arose around the dataset offered by Netflix for the Netflix Prize competition. Although the data sets were anonymized in order to preserve customer privacy, in two researchers from the University of Texas were able to identify individual users by matching the data sets with film ratings on the Internet Movie Database.[58] As a result, in December , an anonymous Netflix user sued Netflix in Doe v. Netflix, alleging that Netflix had violated United States fair trade laws and the Video Privacy Protection Act by releasing the datasets.[59] This, as well as concerns from the Federal Trade Commission, led to the cancellation of a second Netflix Prize competition in [60]

Performance measures[edit]

Evaluation is important in assessing the effectiveness of recommendation algorithms. To measure the effectiveness of recommender systems, and compare different approaches, three types of evaluations are available: user studies, online evaluations (A/B tests), and offline evaluations.[24]

The commonly used metrics are the mean squared error and root mean squared error, the latter having been used in the Netflix Prize. The information retrieval metrics such as precision and recall or DCG are useful to assess the quality of a recommendation method. Diversity, novelty, and coverage are also considered as important aspects in evaluation.[61] However, many of the classic evaluation measures are highly criticized.[62]

User studies are rather small scale. A few dozens or hundreds of users are presented recommendations created by different recommendation approaches, and then the users judge which recommendations are best. In A/B tests, recommendations are shown to typically thousands of users of a real product, and the recommender system randomly picks at least two different recommendation approaches to generate recommendations. The effectiveness is measured with implicit measures of effectiveness such as conversion rate or click-through rate. Offline evaluations are based on historic data, e.g. a dataset that contains information about how users previously rated movies.[63]

The effectiveness of recommendation approaches is then measured based on how well a recommendation approach can predict the users' ratings in the dataset. While a rating is an explicit expression of whether a user liked a movie, such information is not available in all domains. For instance, in the domain of citation recommender systems, users typically do not rate a citation or recommended article. In such cases, offline evaluations may use implicit measures of effectiveness. For instance, it may be assumed that a recommender system is effective that is able to recommend as many articles as possible that are contained in a research article's reference list. However, this kind of offline evaluations is seen critical by many researchers.[64][65][66][24] For instance, it has been shown that results of offline evaluations have low correlation with results from user studies or A/B tests.[66][67] A dataset popular for offline evaluation has been shown to contain duplicate data and thus to lead to wrong conclusions in the evaluation of algorithms.[68] Often, results of so-called offline evaluations do not correlate with actually assessed user-satisfaction.[69] This is probably because offline training is highly biased toward the highly reachable items, and offline testing data is highly influenced by the outputs of the online recommendation module.[64] Researchers have concluded that the results of offline evaluations should be viewed critically.

Beyond accuracy[edit]

Typically, research on recommender systems is concerned about finding the most accurate recommendation algorithms. However, there are a number of factors that are also important.

  • Diversity – Users tend to be more satisfied with recommendations when there is a higher intra-list diversity, e.g. items from different artists.[70]
  • Recommender persistence – In some situations, it is more effective to re-show recommendations,[71] or let users re-rate items,[72] than showing new items. There are several reasons for this. Users may ignore items when they are shown for the first time, for instance, because they had no time to inspect the recommendations carefully.
  • Privacy – Recommender systems usually have to deal with privacy concerns[73] because users have to reveal sensitive information. Building user profiles using collaborative filtering can be problematic from a privacy point of view. Many European countries have a strong culture of data privacy, and every attempt to introduce any level of user profiling can result in a negative customer response. Much research has been conducted on ongoing privacy issues in this space. The Netflix Prize is particularly notable for the detailed personal information released in its dataset. Ramakrishnan et al. have conducted an extensive overview of the trade-offs between personalization and privacy and found that the combination of weak ties (an unexpected connection that provides serendipitous recommendations) and other data sources can be used to uncover identities of users in an anonymized dataset.[74]
  • User demographics – Beel et al. found that user demographics may influence how satisfied users are with recommendations.[75] In their paper they show that elderly users tend to be more interested in recommendations than younger users.
  • Robustness – When users can participate in the recommender system, the issue of fraud must be addressed.[76]
  • Serendipity – Serendipity is a measure of "how surprising the recommendations are".[77] For instance, a recommender system that recommends milk to a customer in a grocery store might be perfectly accurate, but it is not a good recommendation because it is an obvious item for the customer to buy.
  • Trust – A recommender system is of little value for a user if the user does not trust the system.[78] Trust can be built by a recommender system by explaining how it generates recommendations, and why it recommends an item.
  • Labelling – User satisfaction with recommendations may be influenced by the labeling of the recommendations.[79] For instance, in the cited study click-through rate (CTR) for recommendations labeled as "Sponsored" were lower (CTR=%) than CTR for identical recommendations labeled as "Organic" (CTR=%). Recommendations with no label performed best (CTR=%) in that study.

Reproducibility crisis[edit]

The field of recommender systems has been impacted by the replication crisis as well. A systematic analysis of publications applying deep learning or neural methods to the top-k recommendation problem, published in top conferences (SIGIR, KDD, WWW, RecSys), has shown that on average less than 40% of articles are reproducible, with as little as 14% in some conferences. Overall the study identifies 18 articles, only 7 of them could be reproduced and 6 of them could be outperformed by much older and simpler properly tuned baselines. The article also highlights a number of potential problems in today's research scholarship and calls for improved scientific practices in that area.[80] Similar issues have been spotted also in sequence-aware recommender systems.[81] Previous research was also found had little impact on the practical application of recommender systems. By , Ekstrand, Konstan, et al. criticized that "it is currently difficult to reproduce and extend recommender systems research results,” and that evaluations are “not handled consistently".[82] Konstan and Adomavicius conclude that "the Recommender Systems research community is facing a crisis where a significant number of papers present results that contribute little to collective knowledge […] often because the research lacks the […] evaluation to be properly judged and, hence, to provide meaningful contributions."[83] As a consequence, much research about recommender systems can be considered as not reproducible.[84] Hence, operators of recommender systems find little guidance in the current research for answering the question, which recommendation approaches to use in a recommender systems. Said & Bellogín conducted a study of papers published in the field, as well as benchmarked some of the most popular frameworks for recommendation and found large inconsistencies in results, even when the same algorithms and data sets were used.[85] Some researchers demonstrated that minor variations in the recommendation algorithms or scenarios led to strong changes in the effectiveness of a recommender system. They conclude that seven actions are necessary to improve the current situation:[84] "(1) survey other research fields and learn from them, (2) find a common understanding of reproducibility, (3) identify and understand the determinants that affect reproducibility, (4) conduct more comprehensive experiments (5) modernize publication practices, (6) foster the development and use of recommendation frameworks, and (7) establish best-practice guidelines for recommender-systems research."

See also[edit]

References[edit]

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