Let A and B be n n matrices, each with n distinct eigenvalues. Prove that A

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Let A and B be n × n matrices, each with n distinct eigenvalues. Prove that A and B have the same eigenvectors if and only if AB = BA.

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Linear Algebra A Modern Introduction

ISBN: 978-1285463247

4th edition

Authors: David Poole

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Question Posted: Apr 15, 2016 06:15 AM

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Let A and B be n n matrices, each with n distinct eigenvalues. Prove that A

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Since A and B each have n distinct eigenvalues they are both diagonalizable by Theorem 42...View the full answer

Linear Algebra A Modern Introduction

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