a. Explanation Given: Matrices A = [ 1 − 1 2 − 1 4 − 1 2 0 1 2 0 1 2 − 1 4 ] and B = [ 2 2 2 1 2 3 2 4 2 ] Calculation: Compute AB as follows. A B = [ 1 − 1 2 − 1 4 − 1 2 0 1 2 0 1 2 − 1 4 ] × [ 2 2 2 1 2 3 2 4 2 ] = [ 1 × 2 + ( − 1 2 ) 1 + ( − 1 4 ) 2 1 × 2 + ( − 1 2 ) 2 + ( − 1 4 ) 4 1 × 2 + ( − 1 2 ) 3 + ( − 1 4 ) 2 ( − 1 2 ) 2 + 0 × 1 + ( 1 2 ) 2 ( − 1 2 ) 2 + 0 × 2 + ( 1 2 ) 4 ( − 1 2 ) 2 + 0 × 3 + ( 1 2 ) 2 0 × 2 + ( 1 2 ) 1 + ( − 1 4 ) 2 0 × 2 + 1 2 × 2 + ( − 1 4 ) 4 0 × 2 + 1 2 × 3 + ( − 1 4 ) 2 ] = [ 2 − 1 2 − 1 2 2 − 1 − 1 2 − 3 2 − 1 2 − 1 + 0 + 1 − 1 + 0 + 2 − 1 + 0 + 1 0 + 1 2 − 1 2 0 + 1 − 1 0 + 3 2 − 1 2 ] = [ 1 0 0 0 1 0 0 0 1 ] Compute BA as follows b. To determine To find: The relationship between A and B .

COLLEGE ALGEBRA IN CONTEXT W/ INT. REVIE

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ISBN: 9780136482758

Author: HARSHBARGER

Publisher: PEARSON C

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Chapter 7.4, Problem 2E

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To compute: The matrices AB and BA.

To determine

To find: The relationship between A and B.

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COLLEGE ALGEBRA IN CONTEXT W/ INT. REVIE

Ch. 7.1 - In Exercises 14, solve the systems of equations....Ch. 7.1 - Prob. 2E Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E Ch. 7.1 - Prob. 9E Ch. 7.1 - Prob. 10E

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The matrices AB and BA .

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