If A and B are symmetric matrices, then ABA is :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Symmetric matrix
A and B are symmetric matrices,
$⇒ A^T=A$ and $B^T=B$
$(ABA)^T=A^TB^TA^T$
$=ABA$ $A^T=A,B^T=B$
∴ it is also symmetric.