Consider the matrix M=(AB0D)M = \begin{pmatrix} A & B \\ 0 & D \end{pmatrix}M=(A0BD) where AAA and DDD are square matrices. If A=(1234)A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}A=(1324) and D=(5678)D = \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix}D=(5768), what is det(M)\det(M)det(M)?
−4-4−4
888
121212
161616