Nested For Loop to run through a single matrix at two different rate

I have a nx23 matrix which I am looping through to get two separate variables X and Y (each of them being an nx1 column vector) but X and Y can never be the same column in the matrix. I'm using a nested For Loop since the looping has to happen at different rates, i.e. When X is the 1st column of the matrix, then the value of Y has to loop through the remaining 22 columns of the matrix (columns 2:23). Once Y has looped through all the columns, the value of X changes to the 2nd column of the matrix, and Y again loops through the remaining 22 columns. However, Y now has to start at column 1, skip column 2 (Y not equal to X), and continue through the rest of the columns. This continues until X equals the last column of the matrix.

The problem I have is that when Y=X and Y skips to the next column, the value of Y is repeated in the next loop. So when k=1, then the value of i = 2,2,3......23. When k=2, the value of i = 1,2,3,3,4......23, etc.

How do I prevent the repitition?

%I've only pasted the relevant section of code.

for k=1:23  % this is the loop to get X
    
    X = Institution_data(1:784,k);         
    
    for i=1:23 % this is the loop to get Y
        
        if (i==k) % X and Y cannot be the same value
        i=i+1;
        end
        
     Y = Institution_data(1:784,i);
    
        i % I've only put this here to track the value of i as the code runs
    end
    
end

Answer 1

[Chirag Sarda]

You can use continue. To know how to use that you can refer this