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Find the eigenvalues X₁ < λ₂ and associated unit eigenvectors ₁, 2 of the symmetric matrix [19 12 12 1 The smaller eigenvalue X₁ The larger eigenvalue X2 -5 = 25 A = has associated unit eigenvector ₁ = has associated unit eigenvector ū₂ = -1 1 2 2

Find the eigenvalues X₁ < λ₂ and associated unit eigenvectors ₁, 2 of the symmetric matrix [19 12 12 1 The smaller eigenvalue X₁ The larger eigenvalue X2 -5 = 25 A = has associated unit eigenvector ₁ = has associated unit eigenvector ū₂ = -1 1 2 2

Linear Algebra: A Modern Introduction
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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Question
Find the eigenvalues λ₁ < λ2 and associated unit eigenvectors ₁, 2 of the symmetric matrix [19 12] 12 1 The smaller eigenvalue X₁ The larger eigenvalue X2 - -5 = 25 A = has associated unit eigenvector ₁ = - has associated unit eigenvector ₂ 2 1 -1 2
Transcribed Image Text:Find the eigenvalues λ₁ < λ2 and associated unit eigenvectors ₁, 2 of the symmetric matrix [19 12] 12 1 The smaller eigenvalue X₁ The larger eigenvalue X2 - -5 = 25 A = has associated unit eigenvector ₁ = - has associated unit eigenvector ₂ 2 1 -1 2
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