If the diagonal matrix that is congruent to the given matrix is  2 0 0 0 -1 0 0 0 0 Can we interchange the values in the main diagonal so that the answer will be 0 0 0 0 -1 0 0 0 2 since the values -1, 0, and 2 are just eigenvalues of the given matrix

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section: Chapter Questions
Problem 13MS
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If the diagonal matrix that is congruent to the given matrix is 

2 0 0
0 -1 0
0 0 0

Can we interchange the values in the main diagonal so that the answer will be

0 0 0
0 -1 0
0 0 2

since the values -1, 0, and 2 are just eigenvalues of the given matrix

1 0
0 1
1
1
1
1
Transcribed Image Text:1 0 0 1 1 1 1 1
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