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

Answer

$$ det \left( \begin{matrix}8&2&0&0\\2&8&2&0\\0&2&8&2\\0&0&2&4\end{matrix} \right) = 1552 $$

Explanation

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

$$ det \left( \begin{matrix}8&2&0&0\\2&8&2&0\\0&2&8&2\\0&0&2&4\end{matrix} \right) = 1552 $$

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