Evaluate . Hence, solve the system of equations:

Evaluate $\begin{pmatrix} 3 & -2 & 3 \\ 2 & 1 & -1 \\ 4 & -3 & 2 \end{pmatrix} \begin{pmatrix} -1 & -5 & -1 \\ -8 & -6 & 9 \\ -10 & 1 & 7 \end{pmatrix}$. Hence, solve the system of equations: $3x - 2y + 3z = 8$ $2x + y - z = 1$ $4x - 3y + 2z = 4$