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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem 49:** Let \( A \) be a fixed \( n \times n \) matrix and let \[ S = \{ B \in M_{n \times n} \mid AB = BA \} \] Is \( S \) a subspace? Explain.
Transcribed Image Text:**Problem 49:** Let \( A \) be a fixed \( n \times n \) matrix and let \[ S = \{ B \in M_{n \times n} \mid AB = BA \} \] Is \( S \) a subspace? Explain.
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