Evaluate the following determinant:
$$ det \left( \begin{matrix}1&0&-1&0\\4&3&0&0\\1&2&0&1\\8&0&-2&5\end{matrix} \right) $$

Answer

$$ det \left( \begin{matrix}1&0&-1&0\\4&3&0&0\\1&2&0&1\\8&0&-2&5\end{matrix} \right) = -43 $$

Explanation

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Evaluate the following determinant: $$ det \left( \begin{matrix}1&0&-1&0\\4&3&0&0\\1&2&0&1\\8&0&-2&5\end{matrix} \right) $$

$$ det \left( \begin{matrix}1&0&-1&0\\4&3&0&0\\1&2&0&1\\8&0&-2&5\end{matrix} \right) = -43 $$

Evaluate the following determinant:
$$ det \left( \begin{matrix}1&0&-1&0\\4&3&0&0\\1&2&0&1\\8&0&-2&5\end{matrix} \right) $$