Find a matrix P such that P T AP orthogonally diagonalizes A . Verify that P T APgives the proper diagonal form. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a...

Find a matrixP such that P^TAP orthogonally diagonalizesA. Verify that P^TAPgives the proper diagonal form. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.)