Question

If A is a real square matrix , then $A{A}^T$ is

• A. Unsymmetric
• B. Always symmetric
• C. Skew symmetric
• D. Sometimes symmetric

Answer 1

The correct option is B Always symmetric

$(A{A}^T{)}^T=(AT{)}^T{A}^T=A{A}^T$
$\Rightarrow A{A}^{T}isalwayssymmetric$