MATLAB: Finding Unique values for First Row of a Matrix

Question

I have a matrix which I intend to use, such that, I have to keep the uniqe elements of the first row in a specific manner, Following is to describe the process in a bit detail:

We scan the first row and keep it as such if all the elements are unique. Otherwise for a repeating value we select the next value which is uique. For example for the following matrix A:

The output should be Output = [5 6 7 9 11], where first element A(1,1) is kept as such, since the the next element in the first row i.e. A(1,2) = A(1,1), we choose next unique element in this column i.e. A(2,2) , And So on to scan the entire first row without repetition. This way to achieve the desired output for generalized matrix … Any input will be appreciated .

Answer 1

Let A - your array.

output = A(1,:);
for i = 2:numel(output)
    u = unique([output(1:i-1)';A(:,i)]);
    output(i) = u(i);
end