Sum of elements of a matrix such that no row or column repeats

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Lovish Goyal
Lovish Goyal on 21 May 2021
Commented: Torsten on 21 May 2021
If i choose an element of a matrix than the next element used should be from different row and different column. If there is a nxn matrix then the sum of n elements of the matrix should come from the elements of different row and different column.

Accepted Answer

Torsten
Torsten on 21 May 2021
p = randperm(n);
sum = 0.0;
for k = 1:n
sum = sum + a(k,p(k));
end
where a is the nxn matrix.
  4 Comments
Torsten
Torsten on 21 May 2021
p = randperm(n) ;
while any(p==(1:n))
p = randperm(n);
end
% Rest is the same

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