Suppose that A = 2 -2 1 0 0 1 0 0 -1 . Find the eigenvectors of A

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 59EQ
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Suppose that A
=
200
1
0
0 -1
- 2
1
(a) Eigenvector with respect to the smallest eigenvalue: 71
=
Find the eigenvectors of A
where ₁ is a unit vector;
(b) Eigenvector with respect to the second smallest eigenvalue: 72
Submit Question
where 72 is a unit vector;
(c) Eigenvector with respect to the bigest eigenvalue: 73
where 73 is a unit vector.
Question Help: Video
||
=
Transcribed Image Text:Suppose that A = 200 1 0 0 -1 - 2 1 (a) Eigenvector with respect to the smallest eigenvalue: 71 = Find the eigenvectors of A where ₁ is a unit vector; (b) Eigenvector with respect to the second smallest eigenvalue: 72 Submit Question where 72 is a unit vector; (c) Eigenvector with respect to the bigest eigenvalue: 73 where 73 is a unit vector. Question Help: Video || =
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