Find the eigenvalues 1 <12 and associated unit eigenvectors 1, 2 of the symmetric matrix A = = [ $86 -6 -8 The smaller eigenvalue ₁ = has associated unit eigenvector ₁ = The larger eigenvalue 12 = 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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Find the eigenvalues 1 <12 and associated unit eigenvectors 1, 2 of the symmetric matrix
A =
= [ $86
-6 -8
The smaller eigenvalue ₁ =
has associated unit eigenvector ₁
=
The larger eigenvalue 12 =
has associated unit eigenvector u₂
Note: The eigenvectors above form an orthonormal eigenbasis for A.
Transcribed Image Text:Find the eigenvalues 1 <12 and associated unit eigenvectors 1, 2 of the symmetric matrix A = = [ $86 -6 -8 The smaller eigenvalue ₁ = has associated unit eigenvector ₁ = The larger eigenvalue 12 = has associated unit eigenvector u₂ Note: The eigenvectors above form an orthonormal eigenbasis for A.
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