I'm looking at an algorithm that takes a square matrix $M$ containing real numbers and calculates the skew-symmetric part like so:
$ S = (M - M^t)/2 $
It then calculates the absolute value of $S$:
$ S_{abs} = |S| $
Edit: The absolute values of the individual elements
Finally, it calculates the row sums and column sums of $S_{abs}$ and compares them.
My understanding is that $S_{abs}$ should be a symmetric matrix, and as such, the row sums and column sums of $S_{abs}$ should be identical. Am I missing something where they could be different?