If A=(2003)A = \begin{pmatrix} 2 & 0 \\ 0 & 3 \end{pmatrix}A=(2003), what is det(An)\det(A^n)det(An)?
6n6^n6n
5n5^n5n
2n+3n2^n + 3^n2n+3n
2n⋅3n2^n \cdot 3^n2n⋅3n