Answer
$AB-BA$ does not exist.
(AB and BA have different orders)
Work Step by Step
The product of an $m\times n$ matrix and an $n\times p$ matrix is an $m\times p$ matrix.
$A$ is a $2\times\underline{3}$ matrix, B is $\underline{3}\times 2.$
$AB$ exists and is a $2\times 2$ matrix.
$B$ is a $3\times\underline{2}$ matrix, $A$ is $\underline{2}\times 3.$
$BA$ exists and is a $3\times 3$ matrix.
In order to add or subtract matrices AB and BA,
they should have the same order.
But, one is $2\times 2$ and the other $3\times 3$, so
$AB-BA$ does not exist.
