3. (10%) The following matrix is the adjoint matrix of \( A \): adj \( A = \begin{bmatrix} 2 & 0 & 0 & 0 \\ 0 & 2 & 1 & 0 \\ 0 & 4 & 3 & 2 \\ 0 & -2 & -1 & 2 \end{bmatrix} \). Please calculate \( \det(A) \).