Distribute matrix elements to smaller grids.

I need to distribte matrix elements into a smaller grid size.

For example, I have a matrix with size 2x2

[10 20
 30 40] 

I want a matrix with size 4x4 by distributing the elements into a finer resolution.

[2.5 2.5 5 5
 2.5 2.5 5 5
 7.5 7.5 10 10
 7.5 7.5 10 10]

I could do this using resizem and then dividing each element by 4. Is there any other efficient way to do this?

Answer 1

[Guillaume]

Easily:

M = [10 20;
     30 40];
scaling = 2;  

repelem(M/scaling^2, scaling, scaling)