Find the eigenvalues A1 < 2 < A3 and associated unit eigenvectors u1, U2, Uz of the symmetric matrix 0. A = |0 -6 0 7 The eigenvalue A1 has associated unit eigenvector ü The eigenvalue A, = has associated unit eigenvector ūz = The eigenvalue Ag = 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
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
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Find the eigenvalues A1 < A2 < A3 and associated unit eigenvectors ū1, ū2, ūz of the symmetric matrix
7
A = |0 -6 0
7
The eigenvalue A,
has associated unit eigenvector ū,
The eigenvalue A2
has associated unit eigenvector ū,
The eigenvalue A3
has associated unit eigenvector ū3
Note: The eigenvectors above form an orthonormal eigenbasis for A.
Transcribed Image Text:Find the eigenvalues A1 < A2 < A3 and associated unit eigenvectors ū1, ū2, ūz of the symmetric matrix 7 A = |0 -6 0 7 The eigenvalue A, has associated unit eigenvector ū, The eigenvalue A2 has associated unit eigenvector ū, The eigenvalue A3 has associated unit eigenvector ū3 Note: The eigenvectors above form an orthonormal eigenbasis for A.
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