Question

If A is any square matrix then which of the following is not symmetric ?

• A. $A+A^t$
• B. $A-A^t$
• C. $A{A}^t$
• D. $A^{t}A.$

Answer 1

Answer: (B)

${\left(A-A^t\right)}^t=A^t-{\left(A^t\right)}^t=A^t-A=-{\left(A-A^t\right)}^t$
$\Rightarrow A-A^t$ is skew symmetric