If A is a skew symmetric matrix, then $A^2$ is a ____________ .

Answer 1

Toolbox:

• A square matrix A=[a$_{ij}$] is said to be skew symmetric if A'=-A that is $[a_{ij}]= -[a_{ji}]$ for all possible value of i and j.

If A is a skew symmetric matrix then $A^2$ symmetric matrix.

 

A'= (-A)

 

Replace -A by $A^2$

 

A'=($A^2$)=A