4 0 0 -15 3 -6 -11 3 -6 From smallest to largest, the eigenvalues are X₁ < 2 < 3 where X₁ = A₂ = X3 = has an eigenvector has an eigenvector has an eigenvector

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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4
0 0
-15 3 -6
-11
3 -6
From smallest to largest, the eigenvalues are X₁ < λ2 < A3 where
X₁
12
5
X3
=
=
||
=
has an eigenvector
has an eigenvector
has an eigenvector
Transcribed Image Text:4 0 0 -15 3 -6 -11 3 -6 From smallest to largest, the eigenvalues are X₁ < λ2 < A3 where X₁ 12 5 X3 = = || = has an eigenvector has an eigenvector has an eigenvector
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