Question

For square matrix $A$, $A{A}^T$ is-

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

Answer 1

Answer: (B)

symmetric matrix

Since,${\left(A{A}^T\right)}^T={\left(A^T\right)}^T{A}^T=A{A}^T$
Therefore, $A{A}^T$ is symmetric matrix
Ans: B