How to generate all possible matrices with the given entries?

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Ammy
Ammy 2018-1-26
评论： Stephen23 2018-1-26
I have 9 different entries (11,12,13,21,22,23,31,32,33). I want to generate all possible 3 by 3 matrices consisting of these entries with the condition that there is no repetition of any entry in any row and in any column. In short, all the 9 entries in each possible 3 by 3 matrix should be different.

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回答（1 个）

KSSV
KSSV 2018-1-26
val = [11,12,13,21,22,23,31,32,33] ;
A = perms(val) ;
iwant = zeros(3,3,size(A,1)) ;
for i = 1:size(A,1)
iwant(:,:,i) = reshape(A(i,:),3,3) ;
end
  1 个评论
Ammy
Ammy 2018-1-26
sorry I can't convey the full question , As in the first row of resulting matrix we get [ 33 12 23 32 13 22 21 31 11] when I split it into 3by3 matrix i have 33 12 23; 32 13 22; 21 31 11;
when I split into two matrices as ;ist digit is on the first matrix and second is on the second
i get A=[3 1 2;3 1 2; 2 3 1] B=[3 2 3; 2 3 2;1 1 1]
but I want both A and B with the conditions:
1- repetition of any row is not allowed 2- no entry out of {1,2,3} is repeated in any row , repetition in column is allowed.
I need all possible matrices with these conditions

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