Find the eigenvalues A1 < A2 and associated unit eigenvectors ủ1, i2 of the symmetric matrix -5 10 A = 10 -20

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 24EQ
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Find the eigenvalues X1 < A2 and associated unit
eigenvectors ū1, ủ2 of the symmetric matrix
-5
10
A =
10
– 20
The smaller eigenvalue A1
has
associated unit eigenvector ủ1
%3D
The larger eigenvalue A2
has
associated unit eigenvector ủ =
Note: The eigenvectors above form an orthonormal
eigenbasis for A.
Transcribed Image Text:Find the eigenvalues X1 < A2 and associated unit eigenvectors ū1, ủ2 of the symmetric matrix -5 10 A = 10 – 20 The smaller eigenvalue A1 has associated unit eigenvector ủ1 %3D The larger eigenvalue A2 has associated unit eigenvector ủ = Note: The eigenvectors above form an orthonormal eigenbasis for A.
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