Operations on Matrices

If $A$ = $\left[ \begin{matrix}


0 & \phantom{-}6 & \phantom{-}7 \\


-6 & \phantom{-}0 & \phantom{-}8 \\


7 & \phantom{-}-8 & \phantom{-}0 \\


\end{matrix} \right]$,
$B$ = $\left[ \begin{matrix}


0 & \phantom{-}1 & \phantom{-}1 \\


1 & \phantom{-}0 & \phantom{-}2 \\


1 & \phantom{-}2 & \phantom{-}0 \\


\end{matrix} \right]$ and
$C$ = $\left[ \begin{matrix}


2 \\


-2 \\


3 \\


\end{matrix} \right]$, calculate $AB$, $AC$ and $A(B+C)$. Verify that $(A+B)C$ = $AC$+$BC$