Let $W$ be the span of the set of vectors $S$ below, $W=\spn{S}$. Find a set $T$ so that 1) the span of $T$ is $W$, $\spn{T}=W$, (2) $T$ is a linearly independent set, and (3) $T$ is a subset of $S$. \begin{align*} S&= \set{ \colvector{1 \\ 2 \\ -1},\, \colvector{2 \\ -3 \\ 1},\, \colvector{4 \\ 1 \\ -1},\, \colvector{3 \\ 1 \\ 1},\, \colvector{3 \\ -1 \\ 0} } \end{align*}