Let A be a fixed vector in R nxn and let S be the set of all

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Let A be a fixed vector in R ^nxn and let S be the set of all matrices commuting with A; that is,

S = {B|AB = BA}

Prove that S is a subspace of R ^nxn

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Linear Algebra and Its Applications

ISBN: 978-0321791542

4th edition

Authors: David C. Lay

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Posted Date: May 05, 2023 12:46 AM

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Let A be a fixed vector in R nxn and let S be the set of all

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To prove that S is a subspace of Rnxn we need to show that it satisfies three conditions ... View the full answer

Linear Algebra and Its Applications

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