Consider the First-Order Homogeneous System of Linear Differential Equations
$\lambda=9, \xi=\left(\begin{array}{l}-9 \\ -9\end{array}\right)$

Consider the first-order homogeneous system of linear differential equations

Select all of the correct eigenvalue-eigenvector pairs from the following choices.

A) $\lambda=9, \xi=\left(\begin{array}{l}-9 \\ -9\end{array}\right)$
B) $\lambda=-9, \xi=\left(\begin{array}{l}-9 \\ -9\end{array}\right)$
C) $\lambda=-9, \xi=\left(\begin{array}{l}9 \\ -9\end{array}\right)$
D) $\lambda=9, \xi=\left(\begin{array}{l}3 \mathrm{i} \\ 3 \mathrm{i}\end{array}\right)$
E) $\lambda=9, \xi=\left(\begin{array}{l}9 \\ -9\end{array}\right)$
F) $\lambda=-9, \xi=\left(\begin{array}{c}-3 \mathrm{i} \\ 3 \mathrm{i}\end{array}\right)$