To determine To perform: The indicated operations on the given matrices. Explanation Definition used: “ Matrix product : If A is an m × p matrix and B is a p × n matrix, then the matrix product of A and B , denoted AB , is an m × n matrix whose element in the i th row and j th column is the real number obtained from the product of the i th row of A and j th column of B . If the number of columns in A does not equal the number of rows in B , the matrix product AB is not defined. Product of a Number k and a matrix M : The product of a number k and a matrix M , denoted by kM , is a matrix formed by multiply each element of M by k ”. Calculation: The given matrices are A = [ 2 − 1 3 0 4 − 2 ] , B = [ − 3 1 2 5 ] , C = [ − 1 0 2 4 − 3 1 − 2 3 5 ] and D = [ 3 − 2 0 − 1 1 2 ] . The given matrix expression is ( − 1 ) A C + ( 3 ) D B . In order to find the value of the expression ( − 1 ) A C + ( 3 ) D B , first find the value of ( − 1 ) A C and add with the value of ( 3 ) D B . Find the value of ( − 1 ) A C . ( − 1 ) A C = [ 2 − 1 3 0 4 − 2 ] [ − 1 0 2 4 − 3 1 − 2 3 5 ] = [ 2 ( − 1 ) + ( − 1 ) 4 + 3 ( − 2 ) 2 ( 0 ) + ( − 1 ) ( − 3 ) + 3 ( 3 ) 2 ( 2 ) + ( − 1 ) ( 1 ) + 3 ( 5 ) 0 ( − 1 ) + ( 4 ) 4 + ( − 2 ) ( − 2 ) 0 ( 0 ) + ( 4 ) ( − 3 ) + ( − 2 ) <

Pearson eText for College Mathematics for Business, Economics, Life Sciences, and Social Sciences -- Instant Access (Pearson+)

14th Edition

ISBN: 9780137553341

Author: Raymond Barnett, Michael Ziegler

Publisher: PEARSON+

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Chapter 4.4, Problem 44E

To determine

To perform: The indicated operations on the given matrices.

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Chapter 4.4, Problem 43E

Chapter 4.4, Problem 45E

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Pearson eText for College Mathematics for Business, Economics, Life Sciences, and Social Sciences -- Instant Access (Pearson+)

Ch. 4.1 - Solve by graphing and check: 2x − y = −3 x + 2y =...Ch. 4.1 - Solve each of the following systems by graphing: x...Ch. 4.1 - Prob. 3MP Ch. 4.1 - Prob. 4MP Ch. 4.1 - Prob. 5MP Ch. 4.1 - Prob. 6MP Ch. 4.1 - Prob. 7MP Ch. 4.1 - Prob. 1ED Ch. 4.1 - Prob. 2ED Ch. 4.1 - In Problems 1–6, find the x and y coordinates of...

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