Let A and B be two square matrices of the same size such that ABT + BAT = O. If A is a skew-symmetric matrix then BA is

Let C = BA, thenCT=(BA)T=ATBT=−ABT               (as A is skew-symmetric)=BAT                    ( as ABT + BAT = O)=B(−A)=−BA=−CTherefore, C is skew-symmetric.