Question
Evaluate the following $ :\left|\begin{array}{cc} 2 & 3 \\ -4 & 0 \end{array}\right|\left|\begin{array}{cc} 3 & -2 \\ -1 & 4 \end{array}\right| $
✓
Answer
$\begin{array}{l}\left|\begin{array}{cc}2 & 3 \\ -4 & 0\end{array}\right|_{2 \times 2}\left|\begin{array}{cc}3 & -2 \\ -1 & 4\end{array}\right|_{2 \times 2} \end{array} $
$ =\left|\begin{array}{cc}6-3 & -4+12 \\ -12+0 & 8+0\end{array}\right| $
$ =\left|\begin{array}{cr}3 & 8 \\ -12 & 8\end{array}\right|_{2 \times 2}$
$ =\left|\begin{array}{cc}6-3 & -4+12 \\ -12+0 & 8+0\end{array}\right| $
$ =\left|\begin{array}{cr}3 & 8 \\ -12 & 8\end{array}\right|_{2 \times 2}$
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