Find the eigenvalues A1 < A2 and associated unit eigenvectors 1, 2 of the symmetric matrix The smaller eigenvalue A₁ = 3 14 A = 14 -18 has associated unit eigenvector ₁ = The larger eigenvalue ₂ = has associated unit eigenvector 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
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 41EQ
Question
Find the eigenvalues A1 < A2 and associated unit eigenvectors 1, 2 of the symmetric
matrix
The smaller eigenvalue A₁ =
3 14
A
=
14 -18
has associated unit eigenvector ₁ =
The larger eigenvalue ₂ =
has associated unit eigenvector 2 =
Note: The eigenvectors above form an orthonormal eigenbasis for A.
Transcribed Image Text:Find the eigenvalues A1 < A2 and associated unit eigenvectors 1, 2 of the symmetric matrix The smaller eigenvalue A₁ = 3 14 A = 14 -18 has associated unit eigenvector ₁ = The larger eigenvalue ₂ = has associated unit eigenvector 2 = Note: The eigenvectors above form an orthonormal eigenbasis for A.
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