Explanation Given Information: The given matrices are A = [ 5 k − 6 5 ] , B = [ 1 − 2 3 1 ] Formula Used: The multiplication of matrix A by scalar c is denoted by c A . Compute the multiplication by multiplying c with every element of A . Calculation: Consider the matrices, A = [ 5 k − 6 5 ] , B = [ 1 − 2 3 1 ] Compute A B as follows: A B = [ 5 k − 6 5 ] [ 1 − 2 3 1 ] = [ 5 ⋅ 1 + k ⋅ 3 5 ⋅ ( − 2 ) + k ⋅ 1 − 6 ⋅ 1 + 5 ⋅ 3 − 6 ⋅ ( − 2 ) + 5 ⋅ 1 ] = [ 5 + 3 k 2 ( − 5 ) + k − 6 + 15 12 + 5 ] = [ 5 + 3 k

MyLab Math plus Pearson eText -- Standalone Access Card -- for Finite Mathematics & Its Applications (12th Edition)

12th Edition

ISBN: 9780134765723

Author: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

Publisher: PEARSON

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Chapter 2, Problem 14RE

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To calculate: The value(s) of k for which AB=BA where A=[5k−65],B=[1−231].

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Chapter 2, Problem 13RE

Chapter 2, Problem 15RE

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Chapter 2 Solutions

MyLab Math plus Pearson eText -- Standalone Access Card -- for Finite Mathematics & Its Applications (12th Edition)

Ch. 2.1 - 1. Determine whether the following systems of...Ch. 2.1 - Give the meaning of each of the following...Ch. 2.1 - 3. Perform the indicated elementary row...Ch. 2.1 - State the next elementary row operation that...Ch. 2.1 - In Exercises 1–8, perform the indicated elementary...Ch. 2.1 - Prob. 2E Ch. 2.1 - In Exercises 1–8, perform the indicated elementary...Ch. 2.1 - In Exercises 1–8, perform the indicated elementary...Ch. 2.1 - In Exercises 18, perform the indicated elementary...Ch. 2.1 - In Exercises 18, perform the indicated elementary...

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The value(s) of k for which A B = B A where A = [ 5 k − 6 5 ] , B = [ 1 − 2 3 1 ] .

Solution Summary: The author calculates the value of k for which AB=BA is underset_4.

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To calculate: The value(s) of k for which AB=BA where A=[5k−65],B=[1−231].

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Chapter 2 Solutions