设\(\alpha_{1}=\begin{pmatrix}\lambda\\1\\1\end{pmatrix},\alpha_{2}=\begin{pmatrix}1\\\lambda\\1\end{pmatrix},\alpha_{3}=\begin{pmatrix}1\\1\\\lambda\end{pmatrix},\alpha_{4}=\begin{pmatrix}1\\\lambda\\\lambda^{2}\end{pmatrix}\),若\(\alpha_{1},\alpha_{2},\alpha_{3}\)与\(\alpha_{1},\alpha_{2},\alpha_{4}\)等价,则\(\lambda\in\)( ).
A. \(\{\lambda\mid\lambda\in\mathbb{R}\}\)
B. \(\{\lambda\mid\lambda\in\mathbb{R},\lambda\neq - 1\}\)
C. \(\{\lambda\mid\lambda\in\mathbb{R},\lambda\neq - 1,\lambda\neq - 2\}\)
D. \(\{\lambda\mid\lambda\in\mathbb{R},\lambda\neq - 2\}\)
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