0 -2 0 -2 0 2 0 0 -2| Find the eigenvalues and an orthonormal basis for each eigenspace. 1₁ =₁ The matrix M A₂: - = -2 0 0 Orthonormal basis of eigenspace: 0 -2 -2 has two distinct eigenvalues X₁ < d₂.
0 -2 0 -2 0 2 0 0 -2| Find the eigenvalues and an orthonormal basis for each eigenspace. 1₁ =₁ The matrix M A₂: - = -2 0 0 Orthonormal basis of eigenspace: 0 -2 -2 has two distinct eigenvalues X₁ < d₂.
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:0
0
-2 -2 0
-2 -2
0
2 0
0 -2
Find the eigenvalues and an orthonormal basis for each eigenspace.
A₁:
The matrix M
=
-
1₂ = ₁
-2
0
0
Orthonormal basis of eigenspace:
Orthonormal basis of eigenspace:
has two distinct eigenvalues X₁ < d₂.
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