Evaluate the following determinant:
$$ det \left( \begin{matrix}3&-2&5&-1\\-1&3&-1&4\\-2&-1&4&9\\1&0&3&2\end{matrix} \right) $$

Answer

$$ det \left( \begin{matrix}3&-2&5&-1\\-1&3&-1&4\\-2&-1&4&9\\1&0&3&2\end{matrix} \right) = -24 $$

Explanation

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Evaluate the following determinant: $$ det \left( \begin{matrix}3&-2&5&-1\\-1&3&-1&4\\-2&-1&4&9\\1&0&3&2\end{matrix} \right) $$

$$ det \left( \begin{matrix}3&-2&5&-1\\-1&3&-1&4\\-2&-1&4&9\\1&0&3&2\end{matrix} \right) = -24 $$

Evaluate the following determinant:
$$ det \left( \begin{matrix}3&-2&5&-1\\-1&3&-1&4\\-2&-1&4&9\\1&0&3&2\end{matrix} \right) $$