How to combine two or more than two matrix

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Please help me. Here is Example
a=[1 0 1, 1 1 0, 1 1 1] and b=[0 1, 1 0 ]
I want combine these two matrix with each possible combination such as
1 0 1 01
1 0 1 10
1 1 0 01
1 1 0 10
1 1 1 01
1 1 1 10
Total possible solutions are 3(rows of a)*2(rows of b)=6
I have A=119*9 and B=75*12

Accepted Answer

Stephen23
Stephen23 on 7 Sep 2016
Edited: Stephen23 on 7 Sep 2016
you could use Jos' excellent FEX submssion allcomb:
>> a = [1,0,1;1,1,0;1,1,1];
>> b = [0,1;1,0];
>> cell2mat(allcomb(num2cell(a,2),num2cell(b,2)))
ans =
1 0 1 0 1
1 0 1 1 0
1 1 0 0 1
1 1 0 1 0
1 1 1 0 1
1 1 1 1 0
There is also the special case where the number rows are not multiples of each other:
>> [repmat(a,size(b,1),1),repmat(b,size(a,1),1)]
ans =
1 0 1 0 1
1 1 0 1 0
1 1 1 0 1
1 0 1 1 0
1 1 0 0 1
1 1 1 1 0
  3 Comments
Christos Traianos
Christos Traianos on 21 Dec 2021
Hi! Thanks for the answer! How [repmat(a,size(b,1),1),repmat(b,size(a,1),1)] could be used for n number of double arrays?
Thanks in advance!
Stephen23
Stephen23 on 21 Dec 2021
@Christos Traianos: using ALLCOMB is probably the simplest approach:
C = {[1,0,1;1,1,0;1,1,1],[0,1;1,0]}; % any number of matrices
D = cellfun(@(m)num2cell(m,2),C,'uni',0);
M = cell2mat(allcomb(D{:}))
M = 6×5
1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 1 0

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