The determinant of the matrix \( M \) shown below is \(\underline{\hspace{2cm}}\). \[ M = \begin{bmatrix} 1 & 2 & 0 & 0 \\ 3 & 4 & 0 & 0 \\ 0 & 0 & 4 & 3 \\ 0 & 0 & 0 & 1 \end{bmatrix} \]
Given \( A = \begin{pmatrix} 2 & 5 \\ 0 & 3 \end{pmatrix} \), the value of the determinant \( |A^4 - 5A^3 + 6A^2 + 2I| \) is \(\underline{\hspace{2cm}}\).