Question

If $A$ is a skew symmetric matrix, then $A^{2021}$ is

• A. Row matrix
• B. Symmetric matrix
• C. Column matrix
• D. Skew symmetric matrix

Answer 1

Answer: (D)

$A^T=-A$ or $A^n$ is slow symmetric if $n$ is odd
$P=A^{2021}$
$P^T={\left[A^{2021}\right]}^T={\left[A^T\right]}^{2021}=(-A{)}^{2021}=-P$