JEE Main 201912 Apr, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002If A is a symmetric matrix and B is a skew-symmetric matrix such that A + B = [235−1]\left[ {\matrix{ 2 & 3 \cr 5 & { - 1} \cr } } \right][253−1], then AB is equal to :AOption A. [4−21−4]\left[ {\matrix{ 4 & { - 2} \cr 1 & { - 4} \cr } } \right][41−2−4]BOption B. [−4−2−14]\left[ {\matrix{ { - 4} & { - 2} \cr { - 1} & 4 \cr } } \right][−4−1−24]COption C. [−4214]\left[ {\matrix{ { - 4} & 2 \cr 1 & 4 \cr } } \right][−4124]DOption D. [4−2−1−4]\left[ {\matrix{ 4 & { - 2} \cr { - 1} & { - 4} \cr } } \right][4−1−2−4]CheckSkip · show solution