How do I determine Antisymmetry and Transitive properties on a identity matrix?

[duragezic]

I can't figure out either of these two properties with a matrix or graphically since the matrix is just an identity matrix (1's down the diagonal, 0's elsewhere). So there is no edges between any two different elements. The only edges lead back to themselves. So I'm having trouble determing the properties with no edges to work with. Any ideas?

 

[Alkesh]

Multiply it by the identity matrix.

ie. I dunno and just brought you back to where you were.