Generate all possible combinations from 2 vectors

Hi all,

I would like to generate a new matrix that will contain all possible combinations from 2 other matrices. For example,

A = randn(100,3);
B = randn(100,3);

The desired output should be a cell array. such as

C{1} = [A(:,1) B(:,1)];
C{2} = [A(:,1) B(:,1:2)];
C{3} = [A(:,1) B(:,1:3)];
C{4} = [A(:,1:2) B(:,1)];
C{5} = [A(:,1:2) B(:,1:2)];
C{6} = [A(:,1:2) B(:,1:3)];
C{7} = [A(:,1:3) B(:,1)];
C{8} = [A(:,1:3) B(:,1:2)];
C{9} = [A(:,1:3) B(:,1:3)];

Is there a more optimal way to generate this cell array?

Thank you in advance.

[gsourop]

I guess something like this could do the trick, but is this the most efficient way?

A = randn(10,3);
B = randn(10,3);
v2slength = size(A,2)*size(B,2);

for i = 1:3
for j = 1:3
for k = 1:v2slength
Vec2BeStored{k} = [A(:,1:i) B(:,1:j)];
end
end
end

[John D'Errico]

Does it work, doing what you want? Is the time required to do this a problem?

Don't waste your own time looking for a slightly better solution to a non-problem. That is a classic mistake made by people.