Consider the Matrix
Which of These Is a Complete

Consider the matrix
Which of these is a complete list of eigenvalue-eigenvector pairs of A?

A) $\lambda_{1}=4, \quad \xi_{1}=\left(\begin{array}{l}3 \\ 1\end{array}\right) \quad \lambda_{2}=-4, \quad \xi_{2}=\left(\begin{array}{c}-1 \\ 1\end{array}\right)$
B) $\lambda_{1}=4, \xi_{1}=\left(\begin{array}{l}1 \\ 3\end{array}\right) , \lambda_{2}=-4, \xi_{2}=\left(\begin{array}{c}1 \\ -1\end{array}\right)$
C) $\lambda_{1}=2, \xi_{1}=\left(\begin{array}{l}3 \\ 1\end{array}\right) \quad \lambda_{2}=-2, \quad \xi_{2}=\left(\begin{array}{c}-1 \\ 1\end{array}\right)$
D) $\lambda_{1}=2, \quad \xi_{1}=\left(\begin{array}{l}1 \\ 3\end{array}\right) \quad \lambda_{2}=-2, \quad \xi_{2}=\left(\begin{array}{c}1 \\ -1\end{array}\right)$