Answer
Makes sense.
Work Step by Step
To add two matrices, they must have the same order.
To multiply two matrices,
the first must have as many columns as the other has rows.
So if A is a 2$\times$3 matrix, and B is a 3$\times$1 matrix,
AB is defined, and AB is a 2$\times$1 matrix,
but
they can not be added, since they have different orders.
Possible, so it makes sense.
