Question

What are the dimensions of the resulting matrix found by multiplying a 2 by 3 matrix and a 4 by 2 matrix?

Answer 1

I do not think you can multiply them!

Explanation:

You can use the dimensions of the original matrices as:

In your case you get:
`2×3` and `4x2`
So that `n=3` is different from `k=4` and the multiplication is not possible!
On the other hand if you multiply the other way round you get:
`4×2` and `2×3`
It is possible and the result will have dimension `4×3`.