3D Matrix multiplication with vector

Question

This bothers me a bit:

Suppose you have a matrix with three layers.

Is there a simple way to multiply this matrix with a vector of three elements so that the

Answer 1

There's a matlab function called repmat that'll help you in this.

M = [1 2 3]
M * repmat([1 2 3], 3,1)
ans =

 6    12    18
 6    12    18
 6    12    18

M = [1 2 3]
M .* repmat([1 2 3], 3,1)
ans =

 1     4     9
 1     4     9
 1     4     9

Depending on how exactly you want to organise your matrices.