Find the eigenvalues λ₁ < λ₂ < 3 and associated unit eigenvectors ū₁, 2, 3 of the symmetric matrix 4 -2 -2 -2 2 -2 0 The eigenvalue X₁ = The eigenvalue X₂ = The eigenvalue X3 = 6 A = has associated unit eigenvector ₁ has associated unit eigenvector ū₂ = has associated unit eigenvector ū3 = NON 0 2

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 λ₁ < λ2 < A3 and associated unit eigenvectors 1, ủ2, ủ3 of the symmetric matrix
4
-2
The eigenvalue X₁
The eigenvalue >2
The eigenvalue X3
=
=
=
6
A
-
has associated unit eigenvector ū₁
-2
-2
has associated unit eigenvector ū3
=
has associated unit eigenvector ₂
=
=
0 2
2
0
Transcribed Image Text:Find the eigenvalues λ₁ < λ2 < A3 and associated unit eigenvectors 1, ủ2, ủ3 of the symmetric matrix 4 -2 The eigenvalue X₁ The eigenvalue >2 The eigenvalue X3 = = = 6 A - has associated unit eigenvector ū₁ -2 -2 has associated unit eigenvector ū3 = has associated unit eigenvector ₂ = = 0 2 2 0
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