Finite Mathematics and Calculus with Applications (10th Edition)
10th Edition
ISBN: 9780321979407
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2.4, Problem 52E
(a)
To determine
To write: The matrix to be multiplied to obtain the sales increase in the following week.
(b)
To determine
To find: The matrix expressing sales for all three stores in the second week.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
Finite Mathematics and Calculus with Applications (10th Edition)
Ch. 2.1 - Solve the system 2x+3y=123x4y=1.Ch. 2.1 - Prob. 2YTCh. 2.1 - Prob. 3YTCh. 2.1 - Prob. 1ECh. 2.1 - Prob. 2ECh. 2.1 - Prob. 3ECh. 2.1 - Prob. 4ECh. 2.1 - Prob. 5ECh. 2.1 - Prob. 6ECh. 2.1 - Prob. 7E
Ch. 2.1 - Prob. 8ECh. 2.1 - Use the echelon method to solve each system of two...Ch. 2.1 - Prob. 10ECh. 2.1 - Use the echelon method to solve each system of two...Ch. 2.1 - Prob. 12ECh. 2.1 - Prob. 13ECh. 2.1 - Prob. 14ECh. 2.1 - Prob. 15ECh. 2.1 - Prob. 16ECh. 2.1 - Prob. 17ECh. 2.1 - Prob. 18ECh. 2.1 - Prob. 19ECh. 2.1 - Prob. 20ECh. 2.1 - Prob. 21ECh. 2.1 - Prob. 22ECh. 2.1 - Prob. 23ECh. 2.1 - Prob. 24ECh. 2.1 - Prob. 25ECh. 2.1 - Solve each system of equations. Let z be the...Ch. 2.1 - Prob. 27ECh. 2.1 - Prob. 28ECh. 2.1 - For each of the following systems of equations in...Ch. 2.1 - For each of the following systems of equations in...Ch. 2.1 - Prob. 31ECh. 2.1 - Prob. 32ECh. 2.1 - Prob. 33ECh. 2.1 - Prob. 34ECh. 2.1 - Prob. 35ECh. 2.1 - Prob. 36ECh. 2.1 - Prob. 37ECh. 2.1 - Prob. 38ECh. 2.1 - Prob. 39ECh. 2.1 - Prob. 40ECh. 2.1 - Prob. 41ECh. 2.1 - Prob. 42ECh. 2.1 - Prob. 43ECh. 2.1 - Prob. 44ECh. 2.1 - Life Sciences 45. Birds The date of the first...Ch. 2.1 - Prob. 46ECh. 2.1 - Prob. 47ECh. 2.1 - Flight Time A flight leaves New York at 8 P.M. and...Ch. 2.1 - Prob. 49ECh. 2.2 - Prob. 1YTCh. 2.2 - Use the Gauss-Jordan method to solve the system...Ch. 2.2 - Prob. 3YTCh. 2.2 - Prob. 1WECh. 2.2 - Prob. 2WECh. 2.2 - Prob. 1ECh. 2.2 - Prob. 2ECh. 2.2 - Prob. 3ECh. 2.2 - Prob. 4ECh. 2.2 - Prob. 5ECh. 2.2 - Prob. 6ECh. 2.2 - Prob. 7ECh. 2.2 - Prob. 8ECh. 2.2 - Prob. 9ECh. 2.2 - Prob. 10ECh. 2.2 - Prob. 11ECh. 2.2 - Prob. 12ECh. 2.2 - Prob. 13ECh. 2.2 - Prob. 14ECh. 2.2 - Prob. 15ECh. 2.2 - Prob. 16ECh. 2.2 - Prob. 17ECh. 2.2 - Prob. 18ECh. 2.2 - Prob. 19ECh. 2.2 - Prob. 20ECh. 2.2 - Prob. 21ECh. 2.2 - Use the Gauss-Jordan method to solve each system...Ch. 2.2 - Prob. 23ECh. 2.2 - Prob. 24ECh. 2.2 - Prob. 25ECh. 2.2 - Prob. 26ECh. 2.2 - Use the Gauss-Jordan method to solve each system...Ch. 2.2 - Prob. 28ECh. 2.2 - Prob. 29ECh. 2.2 - Prob. 30ECh. 2.2 - Prob. 31ECh. 2.2 - Prob. 32ECh. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - Prob. 35ECh. 2.2 - Prob. 36ECh. 2.2 - Prob. 37ECh. 2.2 - Prob. 38ECh. 2.2 - Prob. 39ECh. 2.2 - Use the Gauss-Jordan method to solve each system...Ch. 2.2 - Prob. 41ECh. 2.2 - Prob. 42ECh. 2.2 - On National Public Radio, the Weekend Edition...Ch. 2.2 - Prob. 44ECh. 2.2 - Investments Katherine Chong invests 10,000...Ch. 2.2 - Prob. 46ECh. 2.2 - Prob. 47ECh. 2.2 - Prob. 48ECh. 2.2 - Loans To get the necessary funds for a planned...Ch. 2.2 - Manufacturing Nadir, Inc. produces three models of...Ch. 2.2 - Deliveries An electronics company produces three...Ch. 2.2 - Tents L.L. Bean makes three sizes of Ultra Dome...Ch. 2.2 - Prob. 53ECh. 2.2 - APPLY IT Transportation An auto manufacturer sends...Ch. 2.2 - Prob. 55ECh. 2.2 - Prob. 56ECh. 2.2 - Prob. 57ECh. 2.2 - Prob. 58ECh. 2.2 - Prob. 59ECh. 2.2 - Prob. 60ECh. 2.2 - Prob. 61ECh. 2.2 - Health The U.S. National Center for Health...Ch. 2.2 - Prob. 63ECh. 2.2 - Prob. 64ECh. 2.2 - Prob. 65ECh. 2.2 - Prob. 66ECh. 2.2 - Baseball Ichiro Suzuki holds the American League...Ch. 2.2 - Prob. 69ECh. 2.2 - Snack Food According to the nutrition labels on...Ch. 2.2 - Lights Out The Tiger Electronics game, Lights Out,...Ch. 2.2 - Prob. 72ECh. 2.2 - Prob. 73ECh. 2.3 - Prob. 1YTCh. 2.3 - Prob. 2YTCh. 2.3 - Prob. 1ECh. 2.3 - Prob. 2ECh. 2.3 - Decide whether each statement is true or false. If...Ch. 2.3 - Prob. 4ECh. 2.3 - Prob. 5ECh. 2.3 - Prob. 6ECh. 2.3 - Prob. 7ECh. 2.3 - Prob. 8ECh. 2.3 - Prob. 9ECh. 2.3 - Prob. 10ECh. 2.3 - Prob. 11ECh. 2.3 - Prob. 12ECh. 2.3 - Prob. 13ECh. 2.3 - Prob. 14ECh. 2.3 - Prob. 15ECh. 2.3 - Prob. 16ECh. 2.3 - Prob. 17ECh. 2.3 - Prob. 18ECh. 2.3 - Prob. 19ECh. 2.3 - Prob. 20ECh. 2.3 - Prob. 21ECh. 2.3 - Prob. 22ECh. 2.3 - Prob. 23ECh. 2.3 - Prob. 24ECh. 2.3 - Prob. 25ECh. 2.3 - Prob. 26ECh. 2.3 - Prob. 27ECh. 2.3 - Prob. 28ECh. 2.3 - Prob. 29ECh. 2.3 - Prob. 30ECh. 2.3 - Prob. 31ECh. 2.3 - Prob. 32ECh. 2.3 - Prob. 33ECh. 2.3 - Prob. 34ECh. 2.3 - Prob. 35ECh. 2.3 - Prob. 36ECh. 2.3 - Prob. 37ECh. 2.3 - Prob. 38ECh. 2.3 - Prob. 39ECh. 2.3 - Prob. 40ECh. 2.3 - Prob. 41ECh. 2.3 - Prob. 42ECh. 2.3 - Prob. 43ECh. 2.3 - Prob. 44ECh. 2.3 - Prob. 45ECh. 2.3 - Prob. 46ECh. 2.3 - Life Expectancy The following table gives the life...Ch. 2.3 - Prob. 48ECh. 2.3 - Educational Attainment The following table gives...Ch. 2.3 - Prob. 50ECh. 2.4 - Prob. 1YTCh. 2.4 - Prob. 2YTCh. 2.4 - Prob. 1ECh. 2.4 - Prob. 2ECh. 2.4 - Prob. 3ECh. 2.4 - Prob. 4ECh. 2.4 - Prob. 5ECh. 2.4 - Prob. 6ECh. 2.4 - Prob. 7ECh. 2.4 - Prob. 8ECh. 2.4 - Prob. 9ECh. 2.4 - Prob. 10ECh. 2.4 - Prob. 11ECh. 2.4 - Prob. 12ECh. 2.4 - Prob. 13ECh. 2.4 - The product matrix AB has the same number of...Ch. 2.4 - Prob. 15ECh. 2.4 - Prob. 16ECh. 2.4 - Prob. 17ECh. 2.4 - Prob. 18ECh. 2.4 - Prob. 19ECh. 2.4 - Prob. 20ECh. 2.4 - Prob. 21ECh. 2.4 - Prob. 22ECh. 2.4 - Prob. 23ECh. 2.4 - Prob. 24ECh. 2.4 - Prob. 25ECh. 2.4 - Prob. 26ECh. 2.4 - Prob. 27ECh. 2.4 - Prob. 28ECh. 2.4 - Prob. 29ECh. 2.4 - Prob. 30ECh. 2.4 - Prob. 31ECh. 2.4 - Prob. 32ECh. 2.4 - Prob. 33ECh. 2.4 - Prob. 34ECh. 2.4 - Prob. 35ECh. 2.4 - Prob. 36ECh. 2.4 - Prob. 37ECh. 2.4 - Prob. 38ECh. 2.4 - Prob. 39ECh. 2.4 - Prob. 40ECh. 2.4 - Prob. 41ECh. 2.4 - Prob. 42ECh. 2.4 - Prob. 43ECh. 2.4 - Prob. 44ECh. 2.4 - Prob. 45ECh. 2.4 - Prob. 46ECh. 2.4 - Prob. 47ECh. 2.4 - Cost Analysis The Mundo Candy Company makes three...Ch. 2.4 - Shoe Sales Sals Shoes and Freds Footwear both have...Ch. 2.4 - Prob. 50ECh. 2.4 - Prob. 51ECh. 2.4 - Prob. 52ECh. 2.4 - Prob. 53ECh. 2.4 - Prob. 54ECh. 2.4 - Prob. 55ECh. 2.4 - Prob. 56ECh. 2.4 - Prob. 57ECh. 2.5 - Prob. 1YTCh. 2.5 - Prob. 2YTCh. 2.5 - Prob. 3YTCh. 2.5 - Prob. 1WECh. 2.5 - Prob. 2WECh. 2.5 - Prob. 3WECh. 2.5 - Prob. 4WECh. 2.5 - Prob. 1ECh. 2.5 - Prob. 2ECh. 2.5 - Prob. 3ECh. 2.5 - Prob. 4ECh. 2.5 - Prob. 5ECh. 2.5 - Prob. 6ECh. 2.5 - Prob. 7ECh. 2.5 - Prob. 8ECh. 2.5 - Prob. 9ECh. 2.5 - Prob. 10ECh. 2.5 - Prob. 11ECh. 2.5 - Prob. 12ECh. 2.5 - Prob. 13ECh. 2.5 - Prob. 14ECh. 2.5 - Prob. 15ECh. 2.5 - Prob. 16ECh. 2.5 - Prob. 17ECh. 2.5 - Prob. 18ECh. 2.5 - Prob. 19ECh. 2.5 - Prob. 20ECh. 2.5 - Prob. 21ECh. 2.5 - Prob. 22ECh. 2.5 - Prob. 23ECh. 2.5 - Prob. 24ECh. 2.5 - Prob. 25ECh. 2.5 - Prob. 26ECh. 2.5 - Prob. 27ECh. 2.5 - Prob. 28ECh. 2.5 - Prob. 29ECh. 2.5 - Prob. 30ECh. 2.5 - Solve each system of equations by using the...Ch. 2.5 - Prob. 32ECh. 2.5 - Prob. 33ECh. 2.5 - Prob. 34ECh. 2.5 - Prob. 35ECh. 2.5 - Prob. 36ECh. 2.5 - Prob. 37ECh. 2.5 - Prob. 38ECh. 2.5 - Prob. 39ECh. 2.5 - Prob. 40ECh. 2.5 - Prob. 41ECh. 2.5 - Prob. 42ECh. 2.5 - Prob. 43ECh. 2.5 - Prob. 44ECh. 2.5 - Prob. 45ECh. 2.5 - Prob. 46ECh. 2.5 - Prob. 47ECh. 2.5 - Prob. 48ECh. 2.5 - Prob. 49ECh. 2.5 - Prob. 50ECh. 2.5 - Prob. 51ECh. 2.5 - Prob. 52ECh. 2.5 - Prob. 53ECh. 2.5 - Prob. 54ECh. 2.5 - Prob. 55ECh. 2.5 - Prob. 56ECh. 2.5 - Prob. 57ECh. 2.5 - Prob. 58ECh. 2.5 - Solve each exercise by using the inverse of the...Ch. 2.5 - Prob. 60ECh. 2.5 - Solve each exercise by using the inverse of the...Ch. 2.5 - Prob. 62ECh. 2.5 - Prob. 63ECh. 2.5 - Encryption Use the matrices presented in Example 7...Ch. 2.5 - Prob. 65ECh. 2.5 - Prob. 66ECh. 2.6 - Prob. 1YTCh. 2.6 - Prob. 2YTCh. 2.6 - Prob. 1WECh. 2.6 - Prob. 2WECh. 2.6 - Prob. 1ECh. 2.6 - Prob. 2ECh. 2.6 - Prob. 3ECh. 2.6 - Prob. 4ECh. 2.6 - Prob. 5ECh. 2.6 - Prob. 6ECh. 2.6 - Prob. 7ECh. 2.6 - Find the ratios of products A, B, and C using a...Ch. 2.6 - Prob. 9ECh. 2.6 - Prob. 10ECh. 2.6 - Business and Economics Input-Output Open Model In...Ch. 2.6 - Prob. 12ECh. 2.6 - Prob. 13ECh. 2.6 - Prob. 14ECh. 2.6 - Prob. 15ECh. 2.6 - Prob. 16ECh. 2.6 - Prob. 17ECh. 2.6 - Prob. 18ECh. 2.6 - Prob. 19ECh. 2.6 - Prob. 20ECh. 2.6 - Prob. 21ECh. 2.6 - Prob. 22ECh. 2.6 - Prob. 23ECh. 2.6 - Prob. 24ECh. 2.6 - Prob. 25ECh. 2.6 - Prob. 26ECh. 2.6 - Prob. 27ECh. 2.6 - Prob. 28ECh. 2.6 - Prob. 29ECh. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 2RECh. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 4RECh. 2 - Prob. 6RECh. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 8RECh. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 10RECh. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 12RECh. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 14RECh. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 16RECh. 2 - What is true about the number of solutions to a...Ch. 2 - Prob. 18RECh. 2 - Solve each system by the echelon method. 19....Ch. 2 - Prob. 20RECh. 2 - Solve each system by the echelon method. 21....Ch. 2 - Prob. 22RECh. 2 - Use the Gauss-Jordan method to solve each system...Ch. 2 - Prob. 24RECh. 2 - Use the Gauss-Jordan method to solve each system...Ch. 2 - Prob. 26RECh. 2 - Use the Gauss-Jordan method to solve each system...Ch. 2 - Prob. 28RECh. 2 - Find the size of each matrix, find the values of...Ch. 2 - Prob. 30RECh. 2 - Find the size of each matrix, find the values of...Ch. 2 - Prob. 32RECh. 2 - Given the matrices...Ch. 2 - Prob. 34RECh. 2 - Given the matrices...Ch. 2 - Prob. 36RECh. 2 - Given the matrices...Ch. 2 - Prob. 38RECh. 2 - Given the matrices...Ch. 2 - Prob. 40RECh. 2 - Given the matrices...Ch. 2 - Prob. 42RECh. 2 - Given the matrices...Ch. 2 - Prob. 44RECh. 2 - Given the matrices...Ch. 2 - Prob. 46RECh. 2 - Find the inverse, if it exists, for each matrix....Ch. 2 - Prob. 48RECh. 2 - Find the inverse, if it exists, for each matrix....Ch. 2 - Prob. 50RECh. 2 - Find the inverse, if it exists, for each matrix....Ch. 2 - Prob. 52RECh. 2 - Find the inverse, if it exists, for each matrix....Ch. 2 - Prob. 54RECh. 2 - Solve the matrix equation AX = B for X using the...Ch. 2 - Prob. 56RECh. 2 - Solve the matrix equation AX = B for X using the...Ch. 2 - Prob. 58RECh. 2 - Solve each system of equations by inverses. 59....Ch. 2 - Prob. 60RECh. 2 - Prob. 61RECh. 2 - Prob. 62RECh. 2 - Prob. 63RECh. 2 - Prob. 64RECh. 2 - Prob. 65RECh. 2 - Prob. 66RECh. 2 - Production Requirements The Waputi Indians make...Ch. 2 - Prob. 68RECh. 2 - Prob. 69RECh. 2 - Prob. 70RECh. 2 - Prob. 71RECh. 2 - Prob. 72RECh. 2 - Input-Output An economy depends on two...Ch. 2 - Nebraska The 1970 economy of the state of Nebraska...Ch. 2 - Prob. 75RECh. 2 - Prob. 76RECh. 2 - CAT Scans (Refer to Exercise 76.) Four X-ray beams...Ch. 2 - Prob. 78RECh. 2 - Prob. 79RECh. 2 - Prob. 80RECh. 2 - Prob. 81RECh. 2 - Prob. 82RECh. 2 - Prob. 83RECh. 2 - Baseball In the 2009 Major League Baseball season,...Ch. 2 - Prob. 85RE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- True or false? det(A) is defined only for a square matrix A.arrow_forwardWriting In Exercises 17-20, explain why the given matrix is not diagonalizable. A=[0900]arrow_forwardLIFE SCIENCE APPLICATIONS Dietetics In Exercise 39 from section 10.2, label the matrices [212132214321],[5070101015210128]and[845] found in parts a, b, and c, respectively, X, Y, and Z. a. Find the product matrix XY. What do the entries of this matrix represent? b. Find the product matrix YZ. What do the entries represent? c. Find the products (XY)Z and X(YZ) and verify that they are equal. What do the entries represent? LIFE SCIENCE APPLICATIONS 39. DieteticsA dietician prepares a diet specifying the amounts a patient should eat of four basic food groups: group 1, meats: group II, fruits and vegetables: group Ill, breads and starches: group IV, milk products. Amounts are given in exchanges that represent I oz meat, 1/2 cup fruits and vegetables. 1 slice bread, 8 oz milk, or other suitable measurements. a. The number of exchanges for breakfast for each of the tour food groups, respectively, are 2,1,2 and 1; for lunch, 3,2,2 and 1; and for dinner, 4,3,2 and 1. Write a 34 matrix using this information. b. The amounts of fat, carbohydrates, and protein in appropriate units in each food group, respectively, are as follows. Fat: 5,0,0,10 Carbohydrates: 0,10,15,12 Protein: 7,1,2,8 Use this information to write a 43 matrix. c. There are 8 calories per exchange of fat, 4 calories per exchange of carbohydrates, and 5 calories per exchange of protein. Summarize this data in a 31 matrix.arrow_forward
- Circuit Analysis In Exercises 59-62, consider the circuit shown in the figure. The currents I1,I2, and I3 (in amperes) are the solution of the system 2I1+4I3=E1I2+4I3=E2I1+I2I3=0 where E1 and E2 are voltages. Use the inverse of the coefficient matrix of this system to find the unknown currents for the given voltages. E1=15volts,E2=17voltsarrow_forwardShow That a Matrix Is Not Diagonalizable In Exercise 15-22, show that the matrix is not diagonalizable. [121014002]arrow_forwardProof Let A be a nonsingular matrix. Prove that if B is row-equivalent to A, then B is also nonsingular.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Matrix Operations Full Length; Author: ProfRobBob;https://www.youtube.com/watch?v=K5BLNZw7UeU;License: Standard YouTube License, CC-BY
Intro to Matrices; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=yRwQ7A6jVLk;License: Standard YouTube License, CC-BY