If \( A \) is a symmetric matrix and \( B \) is a skewsymmetrix mat...

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If \( A \) is a symmetric matrix and \( B \) is a skewsymmetrix matrix such that \( \mathrm{A}+\mathrm{B}=\left[\begin{array}{cc}2 & 3 \\ 5 & -1\end{array}\right] \), then \( \mathrm{AB} \) is equal to:
(A) \( \left[\begin{array}{cc}-4 & 2 \\ 1 & 4\end{array}\right] \)
(B) \( \left[\begin{array}{cc}-4 & -2 \\ -1 & 4\end{array}\right] \)
(C) \( \left[\begin{array}{cc}4 & -2 \\ -1 & -4\end{array}\right] \)
(D) \( \left[\begin{array}{rr}4 & -2 \\ 1 & -4\end{array}\right] \)
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