Evaluate the following determinant:
$$ det \left( \begin{matrix}2&0&1&4\\3&2&-4&-2\\2&3&-1&0\\11&8&-4&6\end{matrix} \right) $$

Answer

$$ det \left( \begin{matrix}2&0&1&4\\3&2&-4&-2\\2&3&-1&0\\11&8&-4&6\end{matrix} \right) = 0 $$

Explanation

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Evaluate the following determinant: $$ det \left( \begin{matrix}2&0&1&4\\3&2&-4&-2\\2&3&-1&0\\11&8&-4&6\end{matrix} \right) $$

$$ det \left( \begin{matrix}2&0&1&4\\3&2&-4&-2\\2&3&-1&0\\11&8&-4&6\end{matrix} \right) = 0 $$

Evaluate the following determinant:
$$ det \left( \begin{matrix}2&0&1&4\\3&2&-4&-2\\2&3&-1&0\\11&8&-4&6\end{matrix} \right) $$