題組內容

2. (20%) Let $A = \begin{bmatrix} 0 & 2 & -1 \\ 2 & 3 & -2 \\ -1 & -2 & 0 \end{bmatrix}$

(c) (10%) Orthogonally diagonalize the matrix \( A \). (You need to find out an orthogonal matrix \( P \) and a diagonal matrix \( D \) such that \( P^T AP = D \).)