[-/1 Points] DETAILS LARLINALG8 7.3.047. 0/1 Submissions Used MY NOTES ASK YOUR TEACHER Find a matrix P such that PTAP orthogonally diagonalizes A. Verify that PTAP gives the proper diagonal form. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.) 0 10 10 A = 10 50 10 0-5 (P, PTAP) = |[[ , 1, 1], [1, , 1], [2, 2, 1]], [[0, 0, 0], [0, -15, 0], [0, 0, 15]]| Show My Work (Optional)