9. [-/8.33 Points]
DETAILS
MY NOTES
LARLINALG8 7.3.045.
Find a matrix $P$ such that $P^TAP$ orthogonally diagonalizes $A$. Verify that $P^TAP$ gives the proper diagonal form. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.)
$A = \begin{bmatrix} 2 & \sqrt{2} \\ \sqrt{2} & 1 \end{bmatrix}$
$(P, P^TAP) = \begin{bmatrix} \end{bmatrix}$