has associated unit eigenvector ūı

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
Problem 41EQ
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Find the eigenvalues A1 < A2 < A3 and associated unit eigenvectors u1, ū2, ūz of the symmetric matrix
2.
2 27
A = 2
4
2
4 0
1
The eigenvalue Aı =
has associated unit eigenvector ú1
The eigenvalue d2 =
A has associated unit eigenvector ū2 =
1
The eigenvalue d3 =
2 has associated unit eigenvector üz =
Note: The eigenvectors above form an orthonormal eigenbasis for A.
Transcribed Image Text:Find the eigenvalues A1 < A2 < A3 and associated unit eigenvectors u1, ū2, ūz of the symmetric matrix 2. 2 27 A = 2 4 2 4 0 1 The eigenvalue Aı = has associated unit eigenvector ú1 The eigenvalue d2 = A has associated unit eigenvector ū2 = 1 The eigenvalue d3 = 2 has associated unit eigenvector üz = Note: The eigenvectors above form an orthonormal eigenbasis for A.
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