How to generate a binary matrix with a fixed sum in rows and a changeable sum in columns?

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Ideth Kara 2022-8-21

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https://ww2.mathworks.cn/matlabcentral/answers/1782870-how-to-generate-a-binary-matrix-with-a-fixed-sum-in-rows-and-a-changeable-sum-in-columns

评论： Torsten 2022-8-22

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

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Ideth Kara 2022-8-21

how can i put "1" with different index in columns in order to get sum = 3 in each columns and "1" in each row

Torsten 2022-8-22

在 MATLAB Online 中打开

What about

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.

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回答（1 个）

Bruno Luong 2022-8-21

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1782870-how-to-generate-a-binary-matrix-with-a-fixed-sum-in-rows-and-a-changeable-sum-in-columns#answer_1030155

编辑：Bruno Luong 2022-8-21

在 MATLAB Online 中打开

A=kron(eye(5),ones(3,1));
A=A(randperm(end),randperm(end))
A = 15×5
     0     0     0     0     1
     1     0     0     0     0
     0     1     0     0     0
     0     1     0     0     0
     0     1     0     0     0
     0     0     0     1     0
     0     0     0     1     0
     0     0     0     0     1
     0     0     1     0     0
     0     0     1     0     0
sum(A,1)
ans = 1×5
     3     3     3     3     3
sum(A,2)
ans = 15×1
     1
     1
     1
     1
     1
     1
     1
     1
     1
     1

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Ideth Kara 2022-8-22

can you explain it more in the example that you mentioned above?

Bruno Luong 2022-8-22

编辑：Bruno Luong 2022-8-22

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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