Let $T$ be the set of vectors $T=\set{ \colvector{1 \\ -1 \\ 2},\, \colvector{3 \\ 0 \\ 1},\, \colvector{4 \\ 2 \\ 3},\, \colvector{3 \\ 0 \\ 6} }$. Find two different subsets of $T$, named $R$ and $S$, so that $R$ and $S$ each contain three vectors, and so that $\spn{R}=\spn{T}$ and $\spn{S}=\spn{T}$. Prove that both $R$ and $S$ are linearly independent.