Let \(V=\text {span}\left (\begin{bmatrix}2\\0\\1\end{bmatrix},\begin{bmatrix}0\\1\\1\end{bmatrix}, \begin{bmatrix}-4\\0\\-2\end{bmatrix}\right )\). Recall that the span of a set of vectors in \(\RR ^n\) is a subspace of \(\RR ^n\). From the choices below select ALL sets that can serve as bases for \(V\).
\(\left \{ \begin{bmatrix}2\\0\\1\end{bmatrix},\begin{bmatrix}0\\1\\1\end{bmatrix}, \begin{bmatrix}-4\\0\\-2\end{bmatrix}\right \}\) \(\left \{ \begin{bmatrix}2\\0\\1\end{bmatrix},\begin{bmatrix}0\\1\\1\end{bmatrix}\right \}\) \(\left \{ \begin{bmatrix}0\\1\\1\end{bmatrix}, \begin{bmatrix}-4\\0\\-2\end{bmatrix}\right \}\) \(\left \{ \begin{bmatrix}2\\0\\1\end{bmatrix}, \begin{bmatrix}-4\\0\\-2\end{bmatrix}\right \}\) \(\left \{ \begin{bmatrix}2\\1\\2\end{bmatrix},\begin{bmatrix}0\\1\\1\end{bmatrix}\right \}\)