Find the eigenvalues A1 < A2 and associated unit eigenvectors u1, uz of the symmetric matrix 10 -10 -10 -5 The smaller eigenvalue A1 = has associated unit eigenvector u1 The larger eigenvalue A2 has associated unit eigenvector u2 Note: The eigenvectors above form an orthonormal eigenbasis for A.

Find the eigenvalues A1 < A2 and associated unit eigenvectors u1, uz of the symmetric matrix 10 -10 -10 -5 The smaller eigenvalue A1 = has associated unit eigenvector u1 The larger eigenvalue A2 has associated unit eigenvector u2 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 37EQ

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Question

I tried the normal method of finding eigenvalues and eigenvectors but it says it's wrong. Is there something I'm missing?

Find the eigenvalues A1 < A2 and associated unit eigenvectors u1, uz of the symmetric matrix
10
-10
-10
-5
The smaller eigenvalue A1 =
has associated unit eigenvector u1
The larger eigenvalue A2
has associated unit eigenvector u2
Note: The eigenvectors above form an orthonormal eigenbasis for A.

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