Find the eigenvalues A1 < A, and associated orthonormal eigenvectors of the symmetric matrix -5 -5 3 A = 3 -5 -5

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 10AEXP
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8.1 7

Find the eigenvalues A1 < d2 and associated orthonormal eigenvectors of the symmetric matrix
-5
3
-5
3
A =
3
-5 0
3
-5
1
has associated orthonormal eigenvectors
11
1
A2 =
has associated orthonormal eigenvectors
Note: The eigenvectors above form an orthonormal eigenbasis for A.
||
Transcribed Image Text:Find the eigenvalues A1 < d2 and associated orthonormal eigenvectors of the symmetric matrix -5 3 -5 3 A = 3 -5 0 3 -5 1 has associated orthonormal eigenvectors 11 1 A2 = has associated orthonormal eigenvectors Note: The eigenvectors above form an orthonormal eigenbasis for A. ||
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