Consider the matrix A=(2002)A = \begin{pmatrix} 2 & 0 \\ 0 & 2 \end{pmatrix}A=(2002). What is det(Ak)\det(A^k)det(Ak) in terms of kkk?
2k2^k2k
4k4^k4k
2k2k2k
4k4k4k