For the matrix A below, find a value of k so that A has two basic eigenvectors associated with the eigenvalue λ = 3.

A = [−3 −18 54 204
0 3 −18 −54
0 0 −3 k
0 0 0 3]
k = ?
I'm specifically having troubles reducing this and knowing what it'll look when there are 2 parameters aka 2 eigenvectors?

1 answer

k = -27

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