WeBWorK Standalone Renderer

Let

$\displaystyle{ A = {\left[\begin{array}{cc} -3 &1\cr -3 &3 \end{array}\right]},}$ $\displaystyle{ B = {\left[\begin{array}{ccc} 5 &-3 &2\cr -1 &1 &-1 \end{array}\right]}. }$

If possible, compute the following. If an answer does not exist, enter DNE.

$AB =$ help (matrices)

$BA =$ help (matrices)

True or False: For any two matrices $A$ and $B$ , both of the products $AB$ and $BA$ are always defined.

In order to get credit for this problem all answers must be correct.