If A and B are two row equivalent matrices, do they necessarily have the same eigenvalues? Either

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If A and B are two row equivalent matrices, do they necessarily have the same eigenvalues? Either prove that they do or give a counterexample.
Let p(x) be the polynomial

The companion matrix of p(x) is the n Ã— n matrix

If A and B are two row equivalent matrices, do

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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 06:13 AM

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If A and B are two row equivalent matrices, do they necessarily have the same eigenvalues? Either

Question:

P(x) =x', + an-ix" i+ +a,x + ao 4 0:·00 0 0 1 0 1 0 0 ,1000

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No they do not For example take B I 2 and let A be any ...View the full answer

Linear Algebra A Modern Introduction

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