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49. Let A be a fixed n x n matrix and let S = {B e Mnxn | AB = BA} %3D Is S a subspace? Explain.

49. Let A be a fixed n x n matrix and let S = {B e Mnxn | AB = BA} %3D Is S a subspace? Explain.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 83E: If A and B are matrices and AB=0, msut |A|=0 or |B|=0? Explain.
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49. Let A be a fixed n xn matrix and let S = {Be Mnxn | AB = BA} %3D Is S a subspace? Explain.
Transcribed Image Text:49. Let A be a fixed n xn matrix and let S = {Be Mnxn | AB = BA} %3D Is S a subspace? Explain.
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