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

Answer

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

Explanation

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

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

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