Suppose that A and B are square matrices of the same size such that AB= A(B+21). Can A be written as a product of elementary matrices? Justify your answer.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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2(c) Suppose that A and B are square matrices of the same size such that
AB = A(B+21).
Can A be written as a product of elementary matrices? Justify your
answer.
Transcribed Image Text:2(c) Suppose that A and B are square matrices of the same size such that AB = A(B+21). Can A be written as a product of elementary matrices? Justify your answer.
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