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