-3 0 -1 0 -1 0 Find the eigenvalues and an orthonormal basis for each eigenspace. A₁ = -1 0 The matrix M = 0 -3 0 -1 0 -3 0 Orthonormal basis of eigenspace: 1₂=0, Orthonormal basis of eigenspace: -3] has two distinct eigenvalues X₁ < ₂.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 65E
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Please explain using determinant simplification in detail. Thank you!

only HANDWRITTEN answer needed ( NOT TYPED)

-3
0
-1
0 -1 0
Find the eigenvalues and an orthonormal basis for each eigenspace.
A₁ =
-1 0
The matrix M =
0
-3
0 -1
0 -3 0
Orthonormal basis of eigenspace:
1₂=0,
Orthonormal basis of eigenspace:
-3]
has two distinct eigenvalues X₁ < ₂.
Transcribed Image Text:-3 0 -1 0 -1 0 Find the eigenvalues and an orthonormal basis for each eigenspace. A₁ = -1 0 The matrix M = 0 -3 0 -1 0 -3 0 Orthonormal basis of eigenspace: 1₂=0, Orthonormal basis of eigenspace: -3] has two distinct eigenvalues X₁ < ₂.
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