I need to generate all 0/1 matrices

3 views (last 30 days)
Hi, i would like to generate all different 5x5 triangle matrices which just have 0 and 1 as elements.
It's important that i really get all and not just a lot.
Is there a command for it? If not how can i programm it?
I appreciate your help a lot.

Accepted Answer

Walter Roberson
Walter Roberson on 2 Jul 2013
M = dec2bin(0:2^15-1, 15);
Now each row of M is the content of one triangular matrix, but in linear form. You can pre-construct the linear indices of the triangular matrix you want (upper or lower), and go through assigning through those indices in turn.
Here is a constructor:
AllTriang = arrayfun( @(N) subsassgn(zeros(5,5), struct('type', '()', 'subs', {[1:5 7:10 13:15 19:20 25]}), dec2bin(S, 15)), 0:2^15-1, 'Uniform', 0);
  1 Comment
Walter Roberson
Walter Roberson on 3 Jul 2013
AllTriang = arrayfun( @(N) subsasgn(zeros(5,5), struct('type', '()', 'subs', {{[1:5 7:10 13:15 19:20 25]}}), dec2bin(N, 15)-'0'), 0:2^15-1, 'Uniform', 0);

Sign in to comment.

More Answers (2)

Kevin
Kevin on 2 Jul 2013
Edited: Kevin on 2 Jul 2013
%This will flip through the linear indexes of a matrix and turn each value into % a binary one
A = rand(5)
for p=1:end
if A(p)<=.5
A(p)= 0
else
A(p)=1
end
end
Edit: triu(A) and tril(A) return the upper and lower triangular portions of A, respectively. Tack that onto my previous post and you should be all set.

andreas
andreas on 2 Jul 2013
Thank you Walter. The first part is a really great tip. Unfortunately i am not able to get the 2nd part going. Do you have the whole file avaiable for it?
  1 Comment
Jan
Jan on 3 Jul 2013
@andreas: Please post comments to an answer in the corresponding comment section and explain "not able to get going" with details: EDo you get an error message? If so, which one?

Sign in to comment.

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!