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If A is an orthogonal matrix, then there must exist a

Linear Algebra with Applications | 5th Edition | ISBN: 9780321796974 | Authors: Otto Bretscher ISBN: 9780321796974 144

Solution for problem 5 Chapter 8

Linear Algebra with Applications | 5th Edition

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Linear Algebra with Applications | 5th Edition | ISBN: 9780321796974 | Authors: Otto Bretscher

Linear Algebra with Applications | 5th Edition

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Problem 5

If A is an orthogonal matrix, then there must exist a symmetric invertible matrix S such that S1AS is diagonal.

Step-by-Step Solution:
Step 1 of 3

7/26/2017 OneNote Online 2.6 Monday, September 8, 28:51 PM https://onedrive.live.com/view.aspxref=button&Bsrc=SMIT&resid=36773184373A8F0B!2562&cid=36773184373a8f0b&app=OneNote&authkey=Avz_e_hLmB4xJLw 1/5 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 2/5

Step 2 of 3

Chapter 8, Problem 5 is Solved
Step 3 of 3

Textbook: Linear Algebra with Applications
Edition: 5
Author: Otto Bretscher
ISBN: 9780321796974

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If A is an orthogonal matrix, then there must exist a