Question

For any square matrix A we can say $(A{A}^T)$ is a

• A. Unit matrix
• B. Symmetric matrix
• C. Skew symmetric matrix
• D. Diagonal matrix

Answer 1

Answer: (B)

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