Find the eigenvalues 11 <12 and associated unit eigenvectors 1, 2 of the symmetric matrix 8 -6 A = -6 -8 The smaller eigenvalue ₁ = has associated unit eigenvector u₁ = The larger eigenvalue 12 = has associated unit eigenvector ₂ = Note: The eigenvectors above form an orthonormal eigenbasis for A.
Find the eigenvalues 11 <12 and associated unit eigenvectors 1, 2 of the symmetric matrix 8 -6 A = -6 -8 The smaller eigenvalue ₁ = has associated unit eigenvector u₁ = The larger eigenvalue 12 = has associated unit eigenvector ₂ = Note: The eigenvectors above form an orthonormal eigenbasis for A.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:Find the eigenvalues 11 <12 and associated unit eigenvectors 1, 2 of the symmetric matrix
8
-6
A =
-6
-8
The smaller eigenvalue ₁ =
has associated unit eigenvector u₁
=
The larger eigenvalue 12 =
has associated unit eigenvector ₂ =
Note: The eigenvectors above form an orthonormal eigenbasis for A.
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