Find the eigenvalues X₁ < ₂ and associated unit eigenvectors 1, 2 of the symmetric matrix [19 12 12 1 The smaller eigenvalue X₁ = -5 The larger eigenvalue X2 25 A = has associated unit eigenvector ū₁ = has associated unit eigenvector ū₂ = Note: The eigenvectors above form an orthonormal eigenbasis for A. - -15 25 25 15
Find the eigenvalues X₁ < ₂ and associated unit eigenvectors 1, 2 of the symmetric matrix [19 12 12 1 The smaller eigenvalue X₁ = -5 The larger eigenvalue X2 25 A = has associated unit eigenvector ū₁ = has associated unit eigenvector ū₂ = Note: The eigenvectors above form an orthonormal eigenbasis for A. - -15 25 25 15
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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