The matrix M = L - A2 = 0 0 -2 -2 0 -2 -2 0 -2 Find the eigenvalues and an orthonormal basis for each eigenspace. A₁ = -4 0 -2 Orthonormal basis of eigenspace: | has two distinct eigenvalues ₁

Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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-2
0 -2 0
0
-2
0 -2
-2 0 -2 0
0 -2 0 -2
Find the eigenvalues and an orthonormal basis for each eigenspace.
A₁ = -4
The matrix M=
Orthonormal basis of eigenspace: |
A2 = 0
Orthonormal basis of eigenspace:
has two distinct eigenvalues A₁ < Az
Transcribed Image Text:-2 0 -2 0 0 -2 0 -2 -2 0 -2 0 0 -2 0 -2 Find the eigenvalues and an orthonormal basis for each eigenspace. A₁ = -4 The matrix M= Orthonormal basis of eigenspace: | A2 = 0 Orthonormal basis of eigenspace: has two distinct eigenvalues A₁ < Az
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