Find the eigenvalues A1 < Az and associated unit eigenvectors i1, úz of the symmetric matrix -18 -6 A = -6 -2 The smaller eigenvalue A has associated unit eigenvector u %3D The larger eigenvalue Ag = has associated unit eigenvector üiz 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
Problem 41EQ
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Find the eigenvalues A1 < Az and associated unit eigenvectors i1, úz of the symmetric matrix
-18
-6
A =
-6
-2
The smaller eigenvalue A
has associated unit eigenvector u
%3D
The larger eigenvalue A2 =
has associated unit eigenvector üi2
Note: The eigenvectors above form an orthonormal eigenbasis for A.
Transcribed Image Text:Find the eigenvalues A1 < Az and associated unit eigenvectors i1, úz of the symmetric matrix -18 -6 A = -6 -2 The smaller eigenvalue A has associated unit eigenvector u %3D The larger eigenvalue A2 = has associated unit eigenvector üi2 Note: The eigenvectors above form an orthonormal eigenbasis for A.
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