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JEE Math Practice Question

If A is a symmetric matrix and B is a skew-symmetric matrix such that A + B = $$\left[ {\begin{matrix} 2 & 3 \\ 5 & { - 1} \\ \end{matrix} } \right]$$, then AB is equal to :

  1. A.$$\left[ {\begin{matrix} 4 & { - 2} \\ 1 & { - 4} \\ \end{matrix} } \right]$$
  2. B.$$\left[ {\begin{matrix} { - 4} & { - 2} \\ { - 1} & 4 \\ \end{matrix} } \right]$$
  3. C.$$\left[ {\begin{matrix} { - 4} & 2 \\ 1 & 4 \\ \end{matrix} } \right]$$
  4. D.$$\left[ {\begin{matrix} 4 & { - 2} \\ { - 1} & { - 4} \\ \end{matrix} } \right]$$

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