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# 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

ISBN: 9780132296540 301

## Solution for problem 28 Chapter 7.2

Elementary Linear Algebra with Applications | 9th Edition

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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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7/26/2017 OneNote Online 6.1 & 6.2 Tuesday, December 2, 28:50 AM https://onedrive.live.com/view.aspxref=button&Bsrc=SMIT&resid=36773184373A8F0B!2562&cid=36773184373a8f0b&app=OneNote&authkey=Avz_e_hLmB4xJLw 1/4 7/26/2017 OneNote Online https://onedrive.live.com/view.aspxref=button&Bsrc=SMIT&resid=36773184373A8F0B!2562&cid=36773184373a8f0b&app=OneNote&authkey=Avz_e_hLmB4xJLw 2/4 7/26/2017 OneNote Online https://onedrive.live.com/view.aspxref=button&Bsrc=SMIT&resid=36773184373A8F0B!2562&cid=36773184373a8f0b&app=OneNote&authkey=Avz_e_hLmB4xJLw 3/4 7/26/2017 OneNote Online https://onedrive.live.com/view.aspxref=button&Bsrc=SMIT&resid=36773184373A8F0B!2562&cid=36773184373a8f0b&app=OneNote&authkey=Avz_e_hLmB4xJLw 4/4

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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