Evaluate the following determinant:
$$ det \left( \begin{matrix}3&1&-1&2\\-5&1&3&-4\\2&0&1&-1\\4&-5&3&-3\end{matrix} \right) $$

Answer

$$ det \left( \begin{matrix}3&1&-1&2\\-5&1&3&-4\\2&0&1&-1\\4&-5&3&-3\end{matrix} \right) = 34 $$

Explanation

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Evaluate the following determinant: $$ det \left( \begin{matrix}3&1&-1&2\\-5&1&3&-4\\2&0&1&-1\\4&-5&3&-3\end{matrix} \right) $$

$$ det \left( \begin{matrix}3&1&-1&2\\-5&1&3&-4\\2&0&1&-1\\4&-5&3&-3\end{matrix} \right) = 34 $$

Evaluate the following determinant:
$$ det \left( \begin{matrix}3&1&-1&2\\-5&1&3&-4\\2&0&1&-1\\4&-5&3&-3\end{matrix} \right) $$