Let $$A = \left[\begin{array}{ccc} -3 &1 &-3\cr 3 &5 &-3 \end{array}\right],$$ $$B = \left[\begin{array}{cc} 2 &-1\cr 1 &-1\cr 2 &3 \end{array}\right].$$ If possible, compute the following. If an answer does not exist, enter DNE.

$AB =$  help (matrices)

$BA =$  help (matrices)

Choose True False True or False: The products $AB$ and $BA$ are both defined only when $A$ and $B$ are both square matrices of the same size.
Choose True False True or False: When both of the matrix products $AB$ and $BA$ exist, $AB$ and $BA$ are matrices of the same size.