#### Provide Solution for R.D.Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 19 Maths Textbook Solution.

Answer: The correct option is (A).

Given: A & B are Symmetric Matrices.

Solution:

\begin{aligned} &A=A \text { and } B^{\prime}=B \\ &\begin{aligned} (A B A) &=A^{\prime}(A B) \\ &=A B^{\prime} A^{\prime} \end{aligned} \end{aligned}

$=A B A$                                                                                                        $\left ( \because Symmetric Matrices \right )$

So, the correct option is (A).