Find the eigenvalues ₁ < 2 and associated unit eigenvectors 1, 2 of the symmetric matrix The smaller eigenvalue A₁ = 1 - A - -8 -8 11 has associated unit eigenvector ₁ = i The larger eigenvalue A₂ = has associated unit eigenvector u₂ = = 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 ₁ < 2 and associated unit eigenvectors 1, 2 of the symmetric
matrix
The smaller eigenvalue A₁ =
1
-
A
-
-8
-8
11
has associated unit eigenvector ₁ =
i
The larger eigenvalue A₂ =
has associated unit eigenvector u₂ =
=
Note: The eigenvectors above form an orthonormal eigenbasis for A.
Transcribed Image Text:Find the eigenvalues ₁ < 2 and associated unit eigenvectors 1, 2 of the symmetric matrix The smaller eigenvalue A₁ = 1 - A - -8 -8 11 has associated unit eigenvector ₁ = i The larger eigenvalue A₂ = has associated unit eigenvector u₂ = = Note: The eigenvectors above form an orthonormal eigenbasis for A.
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