Sort matrix by ratios of the adjacent column

imagine I have a matrix [1, 5; 1, 2; 1, 3]; and I want to rearrange the matrix depending on its ratio with between the two columns so the output is [1, 5; 1, 3; 1, 2];

[Image Analyst]

Um, bad example. Your input AND output are identical: [1, 5; 1, 2; 1, 3]

Did you make a mistake?

[Salvador Aristides]

sorry about that just updated it

[Image Analyst]

OK, I also updated my answer below.

Answer 1

[Image Analyst]

Try this:

m = [1, 5; 1, 2; 1, 3]
ratios = m(:, 1) ./ m(:, 2) % Compute ratio of column 1 to column 2
output = sortrows([m, ratios], 3, 'ascend') % or 'descend'
output = output(:, 1:2) % Get just the first two columns, not the ratio column.