Get one element from each row but not the same column

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Hardi Mohammed
Hardi Mohammed on 17 Feb 2019
Commented: Stephen23 on 26 Feb 2019
I am trying to find the sumation of matrix zero, when I choose one element from each row but different colum,
matrix 3 *3 has 6 posibility. Could you help me how to show all possiblities without repeating.
x=zeros(3,3);
temp=0;
test=zeros(3,3);
b=sum(x,1);
for i=1:3
temp=0;
r=randperm(3);
for j=1:3
if temp~=r(j)
temp=r(j);
if sum(x(i,:))==0 && b(temp)==0
x(i,temp)=1;
end
end
end
b=sum(x,1);
end
x

Answers (1)

Stephen23
Stephen23 on 17 Feb 2019
Edited: Stephen23 on 17 Feb 2019
All six permutations of sums selecting one value from each row:
>> N = 3;
>> A = randi(9,N,N)
A =
8 4 8
9 6 7
8 1 5
>> X = perms(1:N) + (N*(0:N-1)); % linear indices
>> B = A.';
>> sum(B(X),2)
ans =
22
18
19
18
16
19
  7 Comments
Stephen23
Stephen23 on 26 Feb 2019
@Hardi Mohammed: you have to download it. It is very simple:
  1. click on the link in my last comment.
  2. click on the big blue button "Download" (top right of the page).
  3. save the zip file anywhere.
  4. unzip the contents onto your MATLAB path (e.g. into the current directory).
  5. you are now ready to use combinator !

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