Question

For any square matrix $A,A{A}^T$ is a

• A. unit matrix
• B. symmetric matrix
• C. skew-symmetric matrix
• D. diagonal matrix

Answer 1

Answer: (B)

We have, $(A{A}^T{)}^T=(A^T{)}^T{A}^T=A{A}^T$
$\therefore A{A}^T$is a symmetric matrix.