1. The problem statement, all variables and given/known data Hi, I need to prove that if S is a skew-symmetric matrix with NXN dimension and B is any square real-valued matrix, therefore the product of transpose(B), S, and B is also askew symmetric matrix 2. Relevant equations This is what I know so far. 1.Transpose(S) = -S within R^N 2. When N is odd number, S is invertible 3. The sum of all diagonal elements of S is 0 3. The attempt at a solution 1. I try to multiply Transpose(B) with S and then with B to see if all the diagonal elements of the product is 0. Apparently, it does not turn out as I thought.