Find the eigenvalues A₁ A₂ and associated unit eigenvectors ₁, 2 of the symmetric matrix The smaller eigenvalue X₁ = The larger eigenvalue X₂ = has associated unit eigenvector ₁ = has associated unit eigenvector ₂ = Note: The eigenvectors above form an orthonormal eigenbasis for A. A = 15 -15 -25 -157

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
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Find the eigenvalues λ₁ < λ2 and associated unit eigenvectors ₁, 2 of the symmetric matrix
The smaller eigenvalue X₁
The larger eigenvalue >2
=
=
has associated unit eigenvector ₁
=
=
has associated unit eigenvector 2
Note: The eigenvectors above form an orthonormal eigenbasis for A.
A
=
15
-15
-15 -25
Transcribed Image Text:Find the eigenvalues λ₁ < λ2 and associated unit eigenvectors ₁, 2 of the symmetric matrix The smaller eigenvalue X₁ The larger eigenvalue >2 = = has associated unit eigenvector ₁ = = has associated unit eigenvector 2 Note: The eigenvectors above form an orthonormal eigenbasis for A. A = 15 -15 -15 -25
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