Find the matrix P that diagonalizes A, and check yourwork by computer P^-1AP. This matrix is
[-14 12]
[-20 17]
I've tried this problem, and I keep getting the eigenvalues of?=1, 2 and the eigenspace [4 5] for ?=1, and eigenspace [3 4] for?=2. However, whenever I check it with P^-1AP, it doesn't produce adiagonal matrix.
