Matrices with different dimensions?

Question

how can i multiply a 2x3 matrix and a 3x2 matrix?

Answer 1

Yes

if you multiply

2x3 times a 3x2 you get a 2x2

if you multiply

3x2 times a 2x3 you get a 3x3

You can multiply matricies as long as the inner dimensions are the same. (Columns of the first = Rows of the second)

The resultant will be of dimensions similar to the outer dimensions of your original matricies. (Rows of the first x Columns of the Second)