How to generate a binary matrix with a fixed sum in rows and a changeable sum in columns?
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Hello everyone !
i have a binary matrix (M,N) .I want to get sum equal to 1 in each row and in columns sum varies between [1 and 6], the sum of all matrix equal to M.
i will be grateful if you could help me
3 Comments
Torsten
on 22 Aug 2022
What about
[1 0
1 0
0 1
0 1
0 1
0 1]
?
Do you see how to construct one such matrix ?
Of course, you can permute the rows arbitrarily - the resulting matrix will still fulfill the requirements.
Answers (1)
Bruno Luong
on 21 Aug 2022
Edited: Bruno Luong
on 21 Aug 2022
A=kron(eye(5),ones(3,1));
A=A(randperm(end),randperm(end))
sum(A,1)
sum(A,2)
4 Comments
Bruno Luong
on 22 Aug 2022
Edited: Bruno Luong
on 22 Aug 2022
The first line create the specific matrix that meet the row/column sum requirements.
The second line permutes rows and columns randomly, create a new random matrix, the sums are invariants under these operations, so the new matrix still meets the sum requirements.
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