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If a matrix \( C=\left[\begin{array}{ccc}1 & 3 & -2 \\ 2 & -4 & 1 \\ 0 & 3 & 2\end{array}\right] \) can be represented as
P
W
the sum of a symmetric matrix \( P \) and a skew symmetric matrix \( Q \). Then what is \( Q \) matrix equal to?
(1) \( \left[\begin{array}{ccc}0 & 1 / 2 & -1 \\ 2 & -4 & 1 \\ 0 & 2 & 3\end{array}\right] \)
(2) \( \left[\begin{array}{ccc}1 & 1 / 2 & -1 \\ -1 / 2 & 0 & -1 \\ 1 & -1 & 0\end{array}\right] \)
(3) \( \left[\begin{array}{ccc}0 & 1 / 2 & -1 \\ -1 / 2 & 0 & -1 \\ 1 & 1 & 0\end{array}\right] \)
(4) None of these
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