Find the eigenvalues of the matrix A. The eigenvalues are λ₁ < λ2 < 3 < A4, where X₁ = 1 A3 = 5 has an eigenvector has an eigenvector 0 0 1 1 0 0 3 4 , 1₂ = A = -2 , A4 = -6 4 0 -8 0 -10 0 0 0 -11 12 0 -16 17 has an eigenvector has an eigenvector 2 1 0 0 1 1 0 0

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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Find the eigenvalues of the matrix A.
The eigenvalues are λ₁ < λ2 < A3 < №4, where
Ž
A₁ =
=
1
A3 = 5
has an eigenvector
has an eigenvector
0
0
1
1
10
0
3
4
‚ A₂ =
X4
=
||
-
A
-2
-6
2
4
0
-80
-10
0
0
0
0
0
– 11
12
-16 17
has an eigenvector
has an eigenvector
2
1
0
0
1
1
0
0
|
Transcribed Image Text:Find the eigenvalues of the matrix A. The eigenvalues are λ₁ < λ2 < A3 < №4, where Ž A₁ = = 1 A3 = 5 has an eigenvector has an eigenvector 0 0 1 1 10 0 3 4 ‚ A₂ = X4 = || - A -2 -6 2 4 0 -80 -10 0 0 0 0 0 – 11 12 -16 17 has an eigenvector has an eigenvector 2 1 0 0 1 1 0 0 |
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