Consider the matrix $M=\begin {bmatrix} 1&-1&0\\1&-2&1\\0&-1&1\end{bmatrix}$. One of the eigenvectors of $M$ is
- $\begin {bmatrix} 1\\-1\\1\end{bmatrix}$
- $\begin {bmatrix} 1\\1\\-1\end{bmatrix}$
- $\begin {bmatrix} -1\\1\\-1\end{bmatrix}$
- $\begin {bmatrix} 1\\1\\1\end{bmatrix}$