Find the eigenvalues A1 < A2 and associated orthonormal eigenvectors of the symmetric matrix -1 -3 -3 -1 A = -1 -3 -3 -1 -1/sqrt(2) O/sqrt(2) 1/sqrt(2) O/sqrt(2) -4 has associated orthonormal eigenvectors O/sqrt(2) -1/sqrt(2) O/sqrt(2) 1/sqrt(2) 1/sqrt(2) O/sqrt(2) 1/sqrt(2) O/sqrt(2) 2 has associated orthonormal eigenvectors O/sqrt(2) 1/sqrt(2) O/sqrt(2) 1/sqrt(2) Note: The eigenvectors above form an orthonormal eigenbasis for A. ||
Find the eigenvalues A1 < A2 and associated orthonormal eigenvectors of the symmetric matrix -1 -3 -3 -1 A = -1 -3 -3 -1 -1/sqrt(2) O/sqrt(2) 1/sqrt(2) O/sqrt(2) -4 has associated orthonormal eigenvectors O/sqrt(2) -1/sqrt(2) O/sqrt(2) 1/sqrt(2) 1/sqrt(2) O/sqrt(2) 1/sqrt(2) O/sqrt(2) 2 has associated orthonormal eigenvectors O/sqrt(2) 1/sqrt(2) O/sqrt(2) 1/sqrt(2) 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
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 17EQ
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