Sabendo-se que $\det \left(\begin{array}{ccccc}e& \pi & \sqrt{2}& 3^{\frac{1}{3}}& 1\\ 2& -3& 4& -5& 6\\ 1& 2& 3& 4& 5\\ 0& -1& 3& 5& 12\\ 3& 1& 2& 0& 4\end{array}\right)=a$, calcule, em função de $a$, $\det \left(\begin{array}{ccccc}2e& 2\pi & \sqrt{8}& {24}^{\frac{1}{3}}& 2\\ 1& 2& 3& 4& 5\\ 2& -3& 4& -5& 6\\ 0& -1& 3& 5& 12\\ 3& 0& 5& 5& 16\end{array}\right)$.