The Fibonacci sequence is defined by F_0 = 0 ,F_1 = 1 , and F_n = F_{n - 1} + F_{n - 2} for all n >= 2.
Compute
\(\det \begin{pmatrix} F_0 & F_1 & F_2 \\ F_1 & F_1 & F_1 \\ F_2 & F_1 & F_0 \end{pmatrix}\)
