Explanation The given matrix A is 3 × 3 matrix and the matrix B also 3 × 3 matrix that is it having same dimension. To check the commutative property of addition, Compute A + B , A + B = [ 4 − 2 9 6 − 1 0 − 3 5 7 ] + [ − 11 2 − 7 2 0 − 5 1 − 4 10 ] = [ 4 − 11 − 2 + 2 9 − 7 6 + 2 − 1 + 0 0 − 5 − 3 + 1 5 − 4 7 + 10 ] = [ − 7 0 − 2 8 − 1 − 5 − 2 1 17 ] Thus, the sum of two matrices is A + B = [ − 7 0 − 2 8 − 1 − 5 − 2 1 17 ] (1) Compute

A Survey of Mathematics with Applications (10th Edition) - Standalone book

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ISBN: 9780134466378

Author: Angel

Publisher: PEARSON

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Chapter 9.4, Problem 38E

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To show: The commutative property of addition A+B=B+A , where the matrices are A=[4−296−10−357] and B=[−112−720−51−410] .

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Chapter 9.4, Problem 37E

Chapter 9.4, Problem 39E

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Chapter 9 Solutions

A Survey of Mathematics with Applications (10th Edition) - Standalone book

Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E

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The commutative property of addition A + B = B + A , where the matrices are A = [ 4 − 2 9 6 − 1 0 − 3 5 7 ] and B = [ − 11 2 − 7 2 0 − 5 1 − 4 10 ] .

Solution Summary: The author explains the commutative property of addition A+B=B+A and the sum of two matrices.

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To show: The commutative property of addition A+B=B+A , where the matrices are A=[4−296−10−357] and B=[−112−720−51−410] .

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Chapter 9 Solutions