Answer
$\lambda=5:\begin{bmatrix}
1\\1\\1
\end{bmatrix}$
$\lambda=1:\begin{bmatrix}
1\\0\\-1
\end{bmatrix}, \begin{bmatrix}
2\\-1\\0
\end{bmatrix}$
Work Step by Step
$\lambda=5:\begin{bmatrix}
1\\1\\1
\end{bmatrix}$
$\lambda=1:\begin{bmatrix}
1\\0\\-1
\end{bmatrix}, \begin{bmatrix}
2\\-1\\0
\end{bmatrix}$