You have answered 2 out of 4 parts correctly. Find the eigenvalues A₁ < A2 and associated unit eigenvectors ₁, 2 of the symmetric matrix [3 6 A 6 -13 The smaller eigenvalue X₁ = -15 has associated unit eigenvector ₁ = 1 ²²33 2 The larger eigenvalue X₂ = 5 has associated unit eigenvector 2 = 3 2 1 2 Note: The eigenvectors above form an orthonormal eigenbasis for A. 2
You have answered 2 out of 4 parts correctly. Find the eigenvalues A₁ < A2 and associated unit eigenvectors ₁, 2 of the symmetric matrix [3 6 A 6 -13 The smaller eigenvalue X₁ = -15 has associated unit eigenvector ₁ = 1 ²²33 2 The larger eigenvalue X₂ = 5 has associated unit eigenvector 2 = 3 2 1 2 Note: The eigenvectors above form an orthonormal eigenbasis for A. 2
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:You have answered 2 out of 4 parts correctly.
Find the eigenvalues A₁ < A2 and associated unit eigenvectors ₁, 2 of the symmetric matrix
[3 6
A
6 -13
The smaller eigenvalue X₁ = -15
has associated unit eigenvector ₁ =
1
²²33
2
The larger eigenvalue X₂ = 5
has associated unit eigenvector 2 =
3
2
1
2
Note: The eigenvectors above form an orthonormal eigenbasis for A.
2
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