-3 -3 0 0 -3 -3 0 0 0 0 -3 -3 0 0 -3 -3 Find the eigenvalues and an orthonormal basis for each eigenspace. X₁₂ -6 The matrix M Orthonormal basis of eigenspace: 1₂ = 0 Orthonormal basis of eigenspace: has two distinct eigenvalues ₁ < >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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Solve for the orthonormal basis of eigenspace of λ(lamda) 1 and λ(lamda) 2 as seen in the problem.

-3
-3
0 0
-3
-3
0
0
0
0
-3 -3
0 0
-3 -3
Find the eigenvalues and an orthonormal basis for each eigenspace.
X₁ -6
The matrix M =
Orthonormal basis of eigenspace:
1₂ 0
Orthonormal basis of eigenspace:
has two distinct eigenvalues X₁ < ₂.
Transcribed Image Text:-3 -3 0 0 -3 -3 0 0 0 0 -3 -3 0 0 -3 -3 Find the eigenvalues and an orthonormal basis for each eigenspace. X₁ -6 The matrix M = Orthonormal basis of eigenspace: 1₂ 0 Orthonormal basis of eigenspace: has two distinct eigenvalues X₁ < ₂.
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