For the matrix A below, find a value of k so that the dimension of the eigenspace associated with the eigenvalue λ = -1 is two. A = k = 0 -3 6 -26 50 0 -1 6 -12 k 0 0 O O 0 0 1 0 -1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
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For the matrix A below, find a value of k so that the dimension of the eigenspace associated with the eigenvalue = -1 is two.
A =
k = 0
-3 6-26 50
0 -1 6-12
0
0
1 k
000 −1
Transcribed Image Text:For the matrix A below, find a value of k so that the dimension of the eigenspace associated with the eigenvalue = -1 is two. A = k = 0 -3 6-26 50 0 -1 6-12 0 0 1 k 000 −1
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