Find the eigenvalues A₁ < A2 and associated unit eigenvectors ü₁, u2 of the symmetric matrix -13 -21] A = -21 43 The smaller eigenvalue Ai = -20 has associated unit eigenvector u₁ = 10 3 √10 The larger eigenvalue A2 = 50 == has associated unit eigenvector = √10 10 Note: The eigenvectors above form an orthonormal eigenbasis for the column space of A.

Find the eigenvalues A₁ < A2 and associated unit eigenvectors ü₁, u2 of the symmetric matrix -13 -21] A = -21 43 The smaller eigenvalue Ai = -20 has associated unit eigenvector u₁ = 10 3 √10 The larger eigenvalue A2 = 50 == has associated unit eigenvector = √10 10 Note: The eigenvectors above form an orthonormal eigenbasis for the column space of 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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