How can I generate the matrix [1 1; 1 2; 1 3 ; 2 1; 2 2; 2 3; 3 1 ; 3 2 ; 3 3] without loops?

Question

Gil 2012-11-15

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And given matrices XX and YY of sizes 3X3, how can I generate the following matrix:

[XX(1,1) YY(1,1); XX(1,2) YY(1,2);XX(1,3) YY(1,3); XX(2,1) YY(2,1); XX(2,2) YY(2,2); XX(2,3) YY(2,3); XX(3,1) YY(3,1); XX(3,2) YY(3,2); XX(3,3) YY(3,3)]

I mean of course, without writing it explicitly.

Thanks!!

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Answer 1

C.J. Harris 2012-11-15

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I have no idea what your data is, but to generate the matrix in the question try:

out = unique(nchoosek([1:3, 1:3], 2), 'rows');

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Answer 2

Andreas Goser 2012-11-15

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?? "Just telling me how to generate the matrix in the title would be a huge help!" ??

a=[1 1; 1 2; 1 3 ; 2 1; 2 2; 2 3; 3 1 ; 3 2 ; 3 3]

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Gil 2012-11-15

I meant, of course, without writing it explicitly...

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Answer 3

Jos (10584) 2012-11-15

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COMBN!

combn(1:3,2)
ans =
       1     1
       1     2
       1     3
       2     1
       2     2
       2     3
       3     1
       3     2
       3     3