(1) is impossible to read. Most likely it will follow immediately from the properties (AB)^T = B^T A^T and (A^T)^T = A. (2) is really vague.
It's... n by n; skew-symmetric (since (A^T)^T = A = -(-A) = -(A^T)); trace-zero (by Peter's argument--the diagonal entries are all zero)....
I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.