Evaluate the following determinant:
$$ det \left( \begin{matrix}1&1&2&1\\2&5&7&6\\8&0&0&1\\0&0&1&1\end{matrix} \right) $$

Answer

$$ det \left( \begin{matrix}1&1&2&1\\2&5&7&6\\8&0&0&1\\0&0&1&1\end{matrix} \right) = -35 $$

Explanation

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Evaluate the following determinant: $$ det \left( \begin{matrix}1&1&2&1\\2&5&7&6\\8&0&0&1\\0&0&1&1\end{matrix} \right) $$

$$ det \left( \begin{matrix}1&1&2&1\\2&5&7&6\\8&0&0&1\\0&0&1&1\end{matrix} \right) = -35 $$

Evaluate the following determinant:
$$ det \left( \begin{matrix}1&1&2&1\\2&5&7&6\\8&0&0&1\\0&0&1&1\end{matrix} \right) $$