It is given that, A and B are two skew-symmetric matrices of same order.
∴ AT = −A and BT = −B .....(1)
Now, the matrix AB is symmetric if
(A matrix X is symmetric if XT = X)
[Using (1)]
Thus, if A and B are two skew-symmetric matrices of same order, then AB is symmetric if AB = BA.
If A and B are two skew-symmetric matrices of same order, then AB is symmetric if ___AB = BA___.