Explanation Given: A = [ 1 − 2 1 0 0 1 − 2 1 0 0 1 − 2 0 0 0 1 ] , B = [ 1 2 3 4 0 1 2 3 0 0 1 2 0 0 0 1 ] Consider the matrices: A = [ 1 − 2 1 0 0 1 − 2 1 0 0 1 − 2 0 0 0 1 ] , B = [ 1 2 3 4 0 1 2 3 0 0 1 2 0 0 0 1 ] Let’sfind the product A B : A B = [ 1 − 2 1 0 0 1 − 2 1 0 0 1 − 2 0 0 0 1 ] [ 1 2 3 4 0 1 2 3 0 0 1 2 0 0 0 1 ] = [ 0 + 0 + 0 + 0 2 − 2 + 0 + 0 3 − 4 + 1 + 0 4 − 6 + 2 + 0 0 + 0 + 0 + 0 0 + 1 + 0 + 0 0 + 2 − 2 + 0 0 + 3 − 4 + 1 0 + 0 + 0 + 0 0 + 0 + 0 + 0 0 + 0 + 1 + 0 0 + 0 + 2 − 2 0 + 0 + 0 + 0 0 + 0 + 0 + 0 0 + 0 + 0 + 0 0 + 0 + 0 + 1 ] = [ 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 ] Let’sfind the product B A : <

6th Edition

ISBN: 9780321782281

Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 6.4, Problem 12PE

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The products AB and BA to decide whether B is the multiplicative inverse of A.

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The products A B and B A to decide whether B is the multiplicative inverse of A .

Solution Summary: The author analyzes the products AB and BA to determine whether B is the multiplicative inverse of A.

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The products AB and BA to decide whether B is the multiplicative inverse of A.

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