What is the name of a function that transforms a matrix into different dimensions?
Say I have a matrix M of dimensions $(x,y)$ and I want to transform it to dimensions $(w,v)$. I can accomplish this by multiplying M from in front and behind by matrices A and B of dimensions $(w,x)$ and $(y,v)$. So the function would look like this. $$ f\left(\textbf{M}\right) = \textbf{A}\textbf{M}\textbf{B} $$
What is the name of a function like that?
In your case it is a linear application, so it can be represented by a matrix as well (but of size $xy\times wv$).