(Solved): Orthogonally diagonalize the matrix by finding an orthogonal matrix \( Q \) and a diagonal matrix ...

Orthogonally diagonalize the matrix by finding an orthogonal matrix \( Q \) and a diagonal matrix \( D \) such that \( Q^{T} A Q=D \). (Enter each matrix in the form \( [[ \) row 1\( ] \), [row 2],\( \ldots] \), where each row is a comma-separated list.) \[ \begin{array}{l} A=\left[\begin{array}{lll} 5 & 0 & 0 \\ 0 & 1 & 3 \\ 0 & 3 & 1 \end{array}\right] \\ (D, Q)=\left(\begin{array}{ll} & \\ & \times \end{array}\right) \\ \end{array} \]