Randomly change the location of 1s on a matrix of 0s (randperm on a matrix}

How does one generate a random matrix that satisfies certain properties? Specifically, I'm looking for a code that does this:

Given the matrix below, I want to randomly change the locations of 1s.

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

So examples would be

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

Well the initial matrix is easy enough.

A = zeros(4,3);
A(1:2,1) = ones(2,1);

But I don't know how to proceed from here. randperm() only generates a vector so doesn't work here. Is there a matlab function that does what randperm does on a matrix?

Answer 1

[Image Analyst]

Here's one way:

m=[...
1 0 0 
1 0 0
0 0 0
0 0 0]
[rows, columns] = size(m);
ne = numel(m)
numOnes = sum(m(:))

% Generate 10 new versions with 1's in different locations each time.
for k = 1 : 10
  m2 = zeros(size(m)); % Initialize
  m2(randperm(ne, numOnes)) = 1;
  % Turn from vector into 2-D matrix
  m2 = reshape(m2, rows, columns)
end

Answer 2

[Star Strider]

See How to place a number in a random position in a matrix of zeros? (link) for one approach. You can create more random 1 values by having the randi function return a vector rather than a single value. See the documentation for the randi function for details.