Evaluate the following determinant:
$$ det \left( \begin{matrix}2&1&1&1\\3&3&2&1\\4&2&4&1\\5&1&1&5\end{matrix} \right) $$

Answer

$$ det \left( \begin{matrix}2&1&1&1\\3&3&2&1\\4&2&4&1\\5&1&1&5\end{matrix} \right) = 9 $$

Explanation

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Evaluate the following determinant: $$ det \left( \begin{matrix}2&1&1&1\\3&3&2&1\\4&2&4&1\\5&1&1&5\end{matrix} \right) $$

$$ det \left( \begin{matrix}2&1&1&1\\3&3&2&1\\4&2&4&1\\5&1&1&5\end{matrix} \right) = 9 $$

Evaluate the following determinant:
$$ det \left( \begin{matrix}2&1&1&1\\3&3&2&1\\4&2&4&1\\5&1&1&5\end{matrix} \right) $$