(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Prove the property of skew symmetric matrix

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