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pythonmatrix
Quanquan Liu
Quanquan Liu

Reputation: 1477

Creating a random n x n matrix with each row and column adding to 1

I want to create a random n x n matrix with decimal numbers as elements. Each element has to be greater than zero and each row/column should add up to one. The elements should otherwise be random except for the two restrictions described above.

So far, I have a lot of nested for loops using random.random() but the code is really messy. Is there an easier way to do this? Thanks.

Upvotes: 0

Views: 542

Answers (1)

John La Rooy
John La Rooy

Reputation: 304175

This is pretty easy if the elements are all allowed to be the same. Assuming they must all be distinct, you'll have a variation of a magic square

There are different algorithms to make a magic square depending on whether n is odd or even.

Once you have a magic square, each row and column will sum to some constant N

Divide all the numbers in the square by N

Upvotes: 1

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