Evaluate the following determinant:
$$ det \left( \begin{matrix}3&6&-1&2\\5&9&-4&3\\-2&-1&8&11\\4&-2&-6&12\end{matrix} \right) $$

Answer

$$ det \left( \begin{matrix}3&6&-1&2\\5&9&-4&3\\-2&-1&8&11\\4&-2&-6&12\end{matrix} \right) = 622 $$

Explanation

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Evaluate the following determinant: $$ det \left( \begin{matrix}3&6&-1&2\\5&9&-4&3\\-2&-1&8&11\\4&-2&-6&12\end{matrix} \right) $$

$$ det \left( \begin{matrix}3&6&-1&2\\5&9&-4&3\\-2&-1&8&11\\4&-2&-6&12\end{matrix} \right) = 622 $$

Evaluate the following determinant:
$$ det \left( \begin{matrix}3&6&-1&2\\5&9&-4&3\\-2&-1&8&11\\4&-2&-6&12\end{matrix} \right) $$