Find the Indicated Matrix Product or State That the Product

Multiple Choice

Find the indicated matrix product or state that the product is undefined.
- $$A = \left[ \begin{array} { l l l l } 0 & 1 & 0 & 0 \\0 & 0 & 0 & 1 \\1 & 0 & 0 & 0 \\0 & 0 & 1 & 0\end{array} \right] , B = \left[ \begin{array} { r r r r } - 2 & 9 & 3 & 1 \\- 3 & 1 & 1 & - 6 \\1 & - 4 & 5 & 0 \\6 & 3 & - 3 & - 1\end{array} \right]$$
$\mathrm { AB }$

A) $\left[\begin{array}{rrrr}-3 & 1 & 1 & -6 \\6 & 3 & -3 & -1 \\-2 & 9 & 3 & 1 \\1 & -4 & 5 & 0\end{array}\right]$

B) $\left[\begin{array}{rrrr}3 & -2 & 1 & 9 \\1 & -3 & -6 & 1 \\5 & 1 & 0 & -4 \\-3 & 6 & -1 & 3\end{array}\right]$

C) $\left[\begin{array}{rrrr}-2 & 9 & 3 & 1 \\-3 & 1 & 1 & -6 \\1 & -4 & 5 & 0 \\6 & 3 & -3 & -1\end{array}\right]$

D) $\left[\begin{array}{rrrr}0 & 9 & 0 & 0 \\0 & 0 & 0 & -6 \\1 & 0 & 0 & 0 \\0 & 0 & -3 & 0\end{array}\right]$