List of top Mathematics Questions on Transpose of a Matrix asked in KEAM

Let $A=\begin{pmatrix}1 & 3 & 5 \\ -6 & 8 & 3 \\ -4 & 6 & 5\end{pmatrix}$ and $P=\frac{1}{2}(A + A^T)$. Then:

If \( A \) and \( B \) are square matrices of same order and \( A = A^T, B = B^T \), then \( (ABA)^T = \)