If A=(1234)A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}A=(1324), what is the value of det(An)\det(A^n)det(An) for any integer n≥1n \geq 1n≥1?
(−2)n(-2)^n(−2)n
2n2^n2n
(−1)n(-1)^n(−1)n
−2-2−2