Evaluate the following determinant:
$$ det \left( \begin{matrix}3&0&6&-3\\0&2&3&0\\-4&-7&2&0\\2&0&1&10\end{matrix} \right) $$

Answer

$$ det \left( \begin{matrix}3&0&6&-3\\0&2&3&0\\-4&-7&2&0\\2&0&1&10\end{matrix} \right) = 1404 $$

Explanation

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Evaluate the following determinant: $$ det \left( \begin{matrix}3&0&6&-3\\0&2&3&0\\-4&-7&2&0\\2&0&1&10\end{matrix} \right) $$

$$ det \left( \begin{matrix}3&0&6&-3\\0&2&3&0\\-4&-7&2&0\\2&0&1&10\end{matrix} \right) = 1404 $$

Evaluate the following determinant:
$$ det \left( \begin{matrix}3&0&6&-3\\0&2&3&0\\-4&-7&2&0\\2&0&1&10\end{matrix} \right) $$