Question

If A.x = ƛx where A = [■(2&2&-2@1&3&1@1&2&2)], determine the Eigen values of the matrix A and an Eigen vector corresponding to each Eigen value. If ƛ=1, what is a?

(A) {-2, 1, 0}
(B) {3, 5, 2}
(C) {1, 0, 0}
(D) {2, 1, 4}