Evaluate the following: | ll 6 & 1 3 & 1 2 & 4 | | ccc 1 & -2 & 1… - Vidyadip

Question

Evaluate the following:
$
\left|\begin{array}{ll}
6 & 1 \\
3 & 1 \\
2 & 4
\end{array}\right|\left|\begin{array}{ccc}
1 & -2 & 1 \\
2 & 1 & 3
\end{array}\right|
$

✓

Answer

$\left|\begin{array}{ll}6 & 1 \\ 3 & 1 \\ 2 & 4\end{array}\right|_{3 \times 2}\left|\begin{array}{ccc}1 & -2 & 1 \\ 2 & 1 & 3\end{array}\right|_{2 \times 3}$
$=\left|\begin{array}{ccc}6+2 & -12+1 & 6+3 \\ 3+2 & -6+1 & 3+3 \\ 2+8 & -4+4 & 2+12\end{array}\right|$
$=\left|\begin{array}{ccc}8 & -11 & 9 \\ 5 & -5 & 6 \\ 10 & 0 & 14\end{array}\right|_{3 \times 3}$

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