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Asked: 2026-05-26T20:57:03+00:00

I am working with largish binary matrices, at the moment up to 100×100. Lets

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I am working with largish binary matrices, at the moment up to 100×100.

Lets say I am working with 30×30 binary matrices. Then there are a total of 2^(30×30) binary matrices. I want to select a binary matrix at random, where each of the 2^(30×30) matrices has the same probability of being selected.

My solution attempt was to pick a number between 1 and 2^(30×30) using the function randi(n) with n = 2^(30×30) and then converting the result to the appropriate binary matrix. The problem I ran into was that randi(n) does not take values for n larger than 2^54. Matlab in general does not seem to like very large numbers.

Any suggestions?

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1 Answer

  1. Editorial Team

    If each matrix of booleans has equal probability, then the elements of the matrix each have equal probability of 0 and 1. You can just fill a matrix of the appropriate size with n² uniform random booleans.

    I don’t have MATLAB handy, but in Octave you’d do something like unidrnd(2, n, n) - 1.

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