Let A be an II x II matrix and let B = 1' _ 1 A P be similar to A. Show that if x is an

Elementary Linear Algebra with Applications | 9th Edition | ISBN: 9780132296540 | Authors: Bernard Kolman David Hill

ISBN: 9780132296540 301

Solution for problem 28 Chapter 7.2

Elementary Linear Algebra with Applications | 9th Edition

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Problem 28

Let A be an II x II matrix and let B = 1' _ 1 A P be similar to A. Show that if x is an eigenvector of A associated with the eigenvalue i, of A. then p - IX is an eigem'ector of B associated wilh Ihe eigenvalue). of the malrix B .

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