How can I multiply the columns of one matrix by another matrix most efficiently?

I need to multiply the columns of one matrix by the columns of another matrix element-wise, and I would like to avoid loops. So far, I know that this will accomplish what I want done, but I would like to vectorize it if possible.

A = [1 2 3; 4 5 6; 7 8 9]; 
B = [1 1 1; 2 2 2; 3 3 3];
j = 1:size(A,2);
for  i = 1:size(A, 2) % loop over columns
  result(:, i*j) = bsxfun(@times, A(:, i), B);
end

Basically, given 2 MxN matrices my code outputs an MxN^2 matrix. Is there any built in function that will allow me to do this without the loop?

Thanks.

Answer 1

[Andrei Bobrov]

reshape(bsxfun(@times,B,permute(A,[1,3,2])),size(A,1),[])

[Brandon]

Thanks, this does exactly what I needed.

Answer 2

[Azzi Abdelmalek]

A.*B