Question:
Find the product of the matrices \(\begin{bmatrix}1&2&-3\\ 2&3&2\\ 3&-3&-4\end{bmatrix}\begin{bmatrix}-6&17&13\\ 14&5&-8\\ -15&9&-1\end{bmatrix}\) and hence solve the system of linear equations: \(x+2y-3z=-4\), \(2x+3y+2z=2\), \(3x-3y-4z=11\).