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Matrices and Determinants question

2019 · 12 Apr · Shift 1 · Q39

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JEE Main
Mathematics
Matrices and Determinants
2019 · 12 Apr · Shift 1 · Q39

Matrices and Determinants question

2019 · 12 Apr · Shift 1 · Q39

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

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 :

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

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