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The value of $|\begin{matrix} 2 & 1 & 1 \\ 1 & - 2 & - 3 \\ 3 & 2 & 4 \end{matrix}| =$

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Detailed Solution

$= 2 (- 8 + 6) - 1 (4 + 9) + 1 (2 + 6)$

$= 2 (- 2) - 1 (13) + 1 (8)$

$= - 4 - 13 + 8$

$= - 17 + 8$

$= - 9$

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