Diagonalization & Matrix Powers · Easy problem

A $3\times 3$ matrix is written as $A = PDP^{-1}$, where $P$ is an invertible matrix with $\det P = 13$ and $D = \begin{pmatrix}2 & 0 & 0\\0 & -3 & 0\\0 & 0 & 4\end{pmatrix}$. Find $\det A$.