Find the eigenvalues A1 < A2 < A3 and associated unit eigenvectors 1, 2, 3 of the symmetric matrix 1 11 A = 4 -2 4 4 The eigenvalue A₁ = has associated unit eigenvector i The eigenvalue ₂ = has associated unit eigenvector 2 = 9. The eigenvalue 3: = has associated unit eigenvector 3 = Note: The eigenvectors above form an orthonormal eigenbasis for A.

Find the eigenvalues A1 < A2 < A3 and associated unit eigenvectors 1, 2, 3 of the symmetric matrix 1 11 A = 4 -2 4 4 The eigenvalue A₁ = has associated unit eigenvector i The eigenvalue ₂ = has associated unit eigenvector 2 = 9. The eigenvalue 3: = has associated unit eigenvector 3 = 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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