Evaluate the following determinant:
$$ det \left( \begin{matrix}2&3&4&5\\3&4&1&8\\6&7&4&8\\1&3&4&9\end{matrix} \right) $$

Answer

$$ det \left( \begin{matrix}2&3&4&5\\3&4&1&8\\6&7&4&8\\1&3&4&9\end{matrix} \right) = 21 $$

Explanation

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Evaluate the following determinant: $$ det \left( \begin{matrix}2&3&4&5\\3&4&1&8\\6&7&4&8\\1&3&4&9\end{matrix} \right) $$

$$ det \left( \begin{matrix}2&3&4&5\\3&4&1&8\\6&7&4&8\\1&3&4&9\end{matrix} \right) = 21 $$

Evaluate the following determinant:
$$ det \left( \begin{matrix}2&3&4&5\\3&4&1&8\\6&7&4&8\\1&3&4&9\end{matrix} \right) $$