Answer
$AB$ is defined and it is $2\times2$.
Work Step by Step
We can get the $2\times2$ dimensions by looking at the number of rows that matrix $A$ has and the number of columns that matrix $B$ has.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.