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

  1. $\begin {bmatrix} 1\\-1\\1\end{bmatrix}$
  2. $\begin {bmatrix} 1\\1\\-1\end{bmatrix}$
  3. $\begin {bmatrix} -1\\1\\-1\end{bmatrix}$
  4. $\begin {bmatrix} 1\\1\\1\end{bmatrix}$
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