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

One very terse solution is to reshape vector into a 1-by-1-by-3 matrix and use the function BSXFUN to perform the element-wise multiplication (it will replicate dimensions as needed to match the sizes of the two input arguments):

newMatrix = bsxfun(@times,matrix,reshape(vector,[1 1 3]));