Consider the First-Order Homogeneous System of Linear Differential Equations
$\lambda=9, \xi=\left(\begin{array}{l}1 \\ 1\end{array}\right)$

Multiple Choice

Consider the first-order homogeneous system of linear differential equations
= x
Select all of the correct eigenvalue-eigenvector pairs from the following choices.

A) $\lambda=9, \xi=\left(\begin{array}{l}1 \\ 1\end{array}\right)$
B) $\lambda=-9, \xi=\left(\begin{array}{c}-1 \\ 1\end{array}\right)$
C) $\lambda=4, \xi=\left(\begin{array}{l}-9 \\ 4\end{array}\right)$
D) $\lambda=0, \xi=\left(\begin{array}{l}1 \\ 0\end{array}\right)$
E) $\lambda=-4, \xi=\left(\begin{array}{l}9 \\ -4\end{array}\right)$