Appeared in: 2023 (3 sets)
If $\begin{bmatrix} 2 & 0 \\ 5 & 4 \end{bmatrix} = P + Q$, where P is a symmetric and Q is a skew symmetric matrix, then Q is equal to
(A) $\begin{bmatrix} 2 & 5/2 \\ 5/2 & 4 \end{bmatrix}$
(B) $\begin{bmatrix} 0 & -5/2 \\ 5/2 & 0 \end{bmatrix}$
(C) $\begin{bmatrix} 0 & 5/2 \\ -5/2 & 0 \end{bmatrix}$
(D) $\begin{bmatrix} 2 & -5/2 \\ 5/2 & 4 \end{bmatrix}$