The Eigenvalues of the Matrix $$A = \left( \begin{array} { c c c } 3 & 0 & 0 \\0 & 3 & 1 \\0 & - 1 & 1\end{array} \right)$$

Multiple Choice

The eigenvalues of the matrix $$A = \left( \begin{array} { c c c } 3 & 0 & 0 \\0 & 3 & 1 \\0 & - 1 & 1\end{array} \right)$$ are

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