Question

If A and B are symmetric matrices, then ABA is :

A. symmetric matrix

B. skew-symmetric matrix 

C. diagonal matrix 

D. scalar matrix

Answer 1

(A). symmetric matrix

A’ = A & B’ = B 

(ABA)’ = A’ (AB)’ 

= A’B’A’ 

= ABA 

Symmetric Matrix 

Option (A) is the answer.