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. $AB^{T}$

Answer 1

Answer: (B)

ABA

Answer 2

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