For the matrix A below, find a value of k so that A has two basic eigenvectors associated with the eigenvalue λ = -2. A = k = 0 TOOO -1 -1 -11 29 0 0 0 -2 5 k 0 0 3 -15 0 -2

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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For the matrix A below, find a value of k so that A has two basic eigenvectors associated with the eigenvalue = -2.
-1 -1 -11 29
k
3 -15
-2
A=
k = 0
0-2 5
0 0
000
Transcribed Image Text:For the matrix A below, find a value of k so that A has two basic eigenvectors associated with the eigenvalue = -2. -1 -1 -11 29 k 3 -15 -2 A= k = 0 0-2 5 0 0 000
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