How can I generate a binary matrix with a condition on the rows and columns?

Hello everyone!

i have a matrix (M,N)

i want to fill it with "0" and "1" values under the following condition : sum in each row equal to 1 and the sum of each colomun equal to k

this is an example of the required result , which k=2

1 0 0 0 0

1 0 0 0 0

0 1 0 0 0

0 1 0 0 0

0 0 1 0 0

0 0 1 0 0

0 0 0 1 0

0 0 0 1 0

0 0 0 0 1

0 0 0 0 1

Would you please help me ?

Answer 1

[Walter Roberson]

M = 10; N = 5;
k = 2;

if M ~= N * k
    error('inconsistent sizes, would not be able to create a matrix with the required properties')
end

output = repelem(eye(N), k, 1)

output = 10×5

1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1

[Ideth Kara]

it works , thank you