MATLAB: Print numbers on an array that have a unique row and column

array row column uniquechess

The code I wrote can print 1's on a unique column but can be on the same row. How could I get it to have a unique row?
 for k=1:N             % Loops N times 
random = randi([1,N]); % Chooses a random number between 1 and board size
X(k,random) = 1;       % Places a 'queen' on a random column 
end

Best Answer

Perhaps you want:
index = randperm(8, 8);
X     = zeros(8, 8);
for k = 1:8
  X(k, index(k)) = 1;
end
0  0  0  0  0  0  1  0  
0  1  0  0  0  0  0  0  
0  0  0  0  0  0  0  1  
0  0  0  0  0  1  0  0  
0  0  0  0  1  0  0  0  
1  0  0  0  0  0  0  0  
0  0  0  1  0  0  0  0  
0  0  1  0  0  0  0  0
Alternatively without a loop:
X = zeros(8, 8);
X(sub2ind([8,8], 1:8, randperm(8, 8))) = 1
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