Find an invertible matrix P such that P⁻¹ AP = B. (Hint: show that A and B have the same eigenvalues. Find a basis of eigenvectors for each matrix, and use that to find P .) A = [{3 2 2}, {0 1 −2}, {0 0 3}] , B = [{3 0 0}, {2 1 0}, {2 −2 3}].