Question: Given

\[A=\left[ \begin{matrix} 1 & -3 & 2 \\ 2 & 1 & -3 \\ 4 & -3 & -1 \\ \end{matrix} \right],B=\left[ \begin{matrix} 1 & 4 & 1 & 0 \\ 2 & 1 & 1 & 1 \\ 1 & -2 & 1 & 2 \\ \end{matrix} \right],C=\left[ \begin{matrix} 2 & 1 & -1 & -2 \\ 3 & -2 & -1 & -1 \\ 2 & -5 & -1 & 0 \\ \end{matrix} \right]\]

show that \(AB=AC\). What general conclusion can be drawn from this example?