MATLAB: Column-wise AND operation in all column combinations of two matrices

logical?

Given matrix a of size MxN and matrix b of size MxL I want to get a matrix C of size M x(N*L) which contains the column-wise logical operation AND of all combinations of columns of matrix a and matrix b.
a = [1     0     0
     1     0     0
     1     0     0
     1     0     0
     0     1     0
     0     1     0
     0     1     0
     0     1     0
     0     0     1
     0     0     1
     0     0     1
     0     0     1];
 b= [0     0     1
     0     1     0
     1     0     0
     0     0     1
     0     1     0
     1     0     0
     0     0     1
     0     1     0
     1     0     0
     0     0     1
     0     1     0
     1     0     0];
C=[];
for ii=1:size(a, 2)
    for jj=1:size(b, 2)        
        C = [C b(:,jj) & a(:,ii)];
    end
end
I am searching for an alternative syntax of the above loops. Thank you!

Best Answer

This should do it:
 C = bsxfun(@and, a, reshape(b,[12,1,3]);
 theresult = C(down,column_a,column_b);
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