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Consider an eigenvalue k of an n x n matrix A. We know that k is an eigenvalue of AT as

Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher ISBN: 9780136009269 434

Solution for problem 32 Chapter 7.3

Linear Algebra with Applications | 4th Edition

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Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher

Linear Algebra with Applications | 4th Edition

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Problem 32

Consider an eigenvalue k of an n x n matrix A. We know that k is an eigenvalue of AT as well (since A and AT have the same characteristic polynomial). Compare the geometric multiplicities of k as an eigenvalue of A and AT.

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7/21/2017 OneNote Online Cylindrical Shell Method 10/4 Friday, October 4, 11:12 AM https://onedrive.live.com/view.aspxresid=36773184373A8F0B%21196&authkey=AndS3T22WHUFCDM 1/4 7/21/2017 OneNote Online https://onedrive.live.com/view.aspxresid=36773184373A8F0B%21196&authkey=AndS3T22WHUFCDM 2/4 7/21/2017

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Chapter 7.3, Problem 32 is Solved
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Textbook: Linear Algebra with Applications
Edition: 4
Author: Otto Bretscher
ISBN: 9780136009269

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Consider an eigenvalue k of an n x n matrix A. We know that k is an eigenvalue of AT as