Fill in the blanks in each of the
If A is a skew symmetric matrix, then A² is a _________.

Question

Fill in the blanks in each of the If A is a skew symmetric matrix, then A 2 is a _________.

Philoid · Accepted Answer

A² is a symmetric matrix.

Given: A’=-A

⇒ (A²)’=(AA)’=A’A’

⇒ A’A’=(-A)(-A)=A²

⇒ (A²)’=A² (symmetric matrix)

Fill in the blanks in each of theIf A is a skew symmetric matrix, then A2 is a _________.