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

Mar 4, 2016

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 $4 x 2$
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.