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

The correct option is B $ABA$

Given $A=A^T,B=B^T=ABA$

Let $P={\left(ABA\right)}^T=A^T{B}^T{A}^T=ABA$