Question

If A and B are real symmetric matrices of order n then which of the following is true.

• A. $A{A}^T=I$
• B. $A=A^{-1}$
• C. $AB=BA$
• D. $(AB{)}^T=B^T{A}^T$

Answer 1

The correct option is D $(AB{)}^T=B^T{A}^T$

$(AB{)}^T=B^T{A}^T\text{by using Reversal Law.}$