Find the eigenvalues A, < A2 < Ag and associated unit eigenvectors ū1, üz, üz of the symmetric matrix Го 9 A = 0 -6 0 9. 0. The eigenvalue A, has associated unit eigenvector u The eigenvalue A, = has associated unit eigenvector üz The eigenvalue A3 has associated unit eigenvector ūz Note: The eigenvectors above form an orthonormal eigenbasis for A.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.5: Iterative Methods For Computing Eigenvalues
Problem 6EQ
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Find the eigenvalues A1 < A2 < A3 and associated unit eigenvectors ū1, üz, üz of the symmetric matrix
0.
91
A =
0 -6 0
%3D
The eigenvalue A1
has associated unit eigenvector u,
The eigenvalue A, =
has associated unit eigenvector u,
The eigenvalue A3
has associated unit eigenvector üz
%3D
Note: The eigenvectors above form an orthonormal eigenbasis for A.
Transcribed Image Text:Find the eigenvalues A1 < A2 < A3 and associated unit eigenvectors ū1, üz, üz of the symmetric matrix 0. 91 A = 0 -6 0 %3D The eigenvalue A1 has associated unit eigenvector u, The eigenvalue A, = has associated unit eigenvector u, The eigenvalue A3 has associated unit eigenvector üz %3D Note: The eigenvectors above form an orthonormal eigenbasis for A.
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