Question

Please show all your work.

For the matrix A below, find a value of k so that the dimension of the eigenspace associated with the eigenvalue lambda = -1 is two A = [1 -1 k -4 0 -2 -1 -4 0 0 -1 -2 0 0 0 1] k = 0

Show transcribed image text For the matrix A below, find a value of k so that the dimension of the eigenspace associated with the eigenvalue lambda = -1 is two A = [1 -1 k -4 0 -2 -1 -4 0 0 -1 -2 0 0 0 1] k = 0