Given
\[
A = \begin{bmatrix}
-4 & 4 & 4 \\
-7 & 1 & 3 \\
5 & -3 & -1
\end{bmatrix}, \quad
B = \begin{bmatrix}
1 & -1 & 1 \\
1 & -2 & -2 \\
2 & 1 & 3
\end{bmatrix}
\]
find \( AB \). Hence, solve the system of linear equations:
\[
x - y + z = 4,
\]
\[
x - 2y - 2z = 9,
\]
\[
2x + y + 3z = 1.
\]