Find the eigenvalues X₁ < ₂ and associated unit eigenvectors ₁, 2 of the symmetric matrix The smaller eigenvalue X₁ The larger eigenvalue X₂ = has associated unit eigenvector ₁ = has associated unit eigenvector ū₂ = Note: The eigenvectors above form an orthonormal eigenbasis for A. 8 A=[-16 $] 8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the eigenvalues №₁ < λ2 and associated unit eigenvectors ₁, ủ2 of the symmetric matrix
The smaller eigenvalue >₁
The larger eigenvalue X2
=
=
has associated unit eigenvector ₁
=
has associated unit eigenvector 2
Note: The eigenvectors above form an orthonormal eigenbasis for A.
A:
-16 8
=
[3
8
Transcribed Image Text:Find the eigenvalues №₁ < λ2 and associated unit eigenvectors ₁, ủ2 of the symmetric matrix The smaller eigenvalue >₁ The larger eigenvalue X2 = = has associated unit eigenvector ₁ = has associated unit eigenvector 2 Note: The eigenvectors above form an orthonormal eigenbasis for A. A: -16 8 = [3 8
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