The Eigenvalue-Eigenvector Pairs for the Matrix $$A = \left( \begin{array} { c c c } 4 & 0 & 0 \\0 & 3 & 1 \\0 & - 1 & 1\end{array} \right) \mathrm { X }$$

Multiple Choice

The eigenvalue-eigenvector pairs for the matrix $$A = \left( \begin{array} { c c c } 4 & 0 & 0 \\0 & 3 & 1 \\0 & - 1 & 1\end{array} \right) \mathrm { X }$$ are Select all that apply.

A) $$4 , \left( \begin{array} { l } 1 \\0 \\0\end{array} \right)$$
B) $$2 , \left( \begin{array} { c } 0 \\1 \\- 1\end{array} \right)$$
C) $$2 , \left( \begin{array} { c } 1 \\- 1 \\0\end{array} \right)$$
D) $$2 , \left( \begin{array} { l } 0 \\1 \\1\end{array} \right)$$
E) $$2 , \left( \begin{array} { l } 0 \\1 \\0\end{array} \right)$$