Solve:

Solution:

Consider,

\[\ldots \text{ }\left( i \right)\]

\[\ldots \text{ }\left( ii \right)\]

From (i) and (ii) we can see that

A skew-symmetric matrix is a square matrix whose transpose equal to its negative, that is,

\[X\text{ }=\text{ -}\text{ }{{X}^{T}}\]

So, \[A\text{ }-\text{ }{{A}^{T}}\] is a skew-symmetric.