Find the eigenvalues X₁ < λ₂ and associated unit eigenvectors ₁, 2 of the symmetric matrix [19 12 12 1 The smaller eigenvalue X₁ The larger eigenvalue X2 -5 = 25 A = has associated unit eigenvector ₁ = has associated unit eigenvector ū₂ = -1 1 2 2

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 λ₁ < λ2 and associated unit eigenvectors ₁, 2 of the symmetric matrix
[19 12]
12 1
The smaller eigenvalue X₁
The larger eigenvalue X2
-
-5
= 25
A
=
has associated unit eigenvector ₁
=
-
has associated unit eigenvector ₂
2
1
-1
2
Transcribed Image Text:Find the eigenvalues λ₁ < λ2 and associated unit eigenvectors ₁, 2 of the symmetric matrix [19 12] 12 1 The smaller eigenvalue X₁ The larger eigenvalue X2 - -5 = 25 A = has associated unit eigenvector ₁ = - has associated unit eigenvector ₂ 2 1 -1 2
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