Systems of Differential Equations · Medium problem

Let $\Phi(t)$ be the fundamental matrix of $\mathbf x'=\begin{pmatrix}1&4\\-2&3\end{pmatrix}\mathbf x$ with $\Phi(0)=\begin{pmatrix}1&1\\0&2\end{pmatrix}$. Find $\det\Phi(1)$.