Question

If $A$ and $B$ are square matrices of the same order and if $A=A^T,B=B^T,$ then ${\left(ABA\right)}^T=$

• A. BAB
• B. ABA
• C. ABAB
• D. $A{B}^T$
• E. ${\left(AB\right)}^T$

Answer 1

Answer: (B)

Let$P=(ABA{)}^T=A^T{B}^T{A}^T$
$A=A^T,B=B^T=ABA$