Find the eigenvalues A1 < A2 and associated unit eigenvectors ū1, ūz of the symmetric matrix 4 -12 A 12 36 he smaller eigenvalue A1 has associated unit eigenvector ūj he larger eigenvalue A2 has associated unit eigenvector U2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
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Find the eigenvalues A1 < A2 and associated unit eigenvectors ū1, ūz of the symmetric matrix
4
-12
A
12
36
The smaller eigenvalue A1
has associated unit eigenvector u
The larger eigenvalue A2
has associated unit eigenvector ü2
Note: The eigenvectors above form an orthonormal eigenbasis for A.
Transcribed Image Text:Find the eigenvalues A1 < A2 and associated unit eigenvectors ū1, ūz of the symmetric matrix 4 -12 A 12 36 The smaller eigenvalue A1 has associated unit eigenvector u The larger eigenvalue A2 has associated unit eigenvector ü2 Note: The eigenvectors above form an orthonormal eigenbasis for A.
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