If $A=\left[\begin{array}{lll}1 & a & 3 \\ b & 2 & c \\ 3 & d & 4\end{array}\right]$ is a symmetric matrix and $B=\left[\begin{array}{ccc}0 & 5 & b \\ -5 & 0 & -7 \\ 6 & c & 0\end{array}\right]$ is a skew-symmetric matrix, then $A B=$
- A
$\left[\begin{array}{ccc}48 & 27 & 48 \\ 52 & 19 & 22 \\ -59 & 43 & -67\end{array}\right]$
- B
$\left[\begin{array}{ccc}48 & 26 & 36 \\ 32 & 19 & 22 \\ -11 & 43 & -67\end{array}\right]$
- C
$\left[\begin{array}{ccc}12 & 26 & 36 \\ 32 & 79 & 50 \\ -11 & 43 & -67\end{array}\right]$
- D
$\left[\begin{array}{ccc}12 & 32 & 41 \\ 32 & 19 & 22 \\ -11 & 43 & -67\end{array}\right]$
✓ Correct answer: B
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