Question

If A is a skew-symmetric matrix and n is a positive integer, then $A^n$ is

• A. a symmetric matrix
• B. skew-symmetric matrix
• C. diagonal matrix
• D. none of these

Answer 1

The correct option is D none of these

Given $A\to$skew symmetric matrix

$n\to$positive integer

$A^n\to$is symmetric if $n$ is an odd integer and is skew symmetric if $n$ is an even integer