If A is a skew-symmetric matrix, then ${A^2}$ is a …………..

If A is a skew-symmetric matrix, then ${A^2}$ is a symmetric matrix.

$\therefore$ ${\left( {{A^2}} \right)^\prime } = {\left( {{A^\prime }} \right)^2}$

$= {( - A)^2}$
$= {A^2}$

Therefore, ${A^2}$ is a symmetric matrix.