().rref()) = \left( \left[\begin{matrix}1 & 2 & 0\\0 & 0 & 1\\0 & 0 & 0\end{matrix}\right], \ \left( 0, \ 2\right)\right)$ For the eigenvalue $\lambda_1=2$, its one eigenvector is $\xi_1=\begin{pmatrix}-2\\1\\0\end{pmatrix}$ So for the eigenvalue $...