Question: Determine whether the given vector

\[v=\left[ \begin{matrix} 1 \\ 4 \\ 3 \\ \end{matrix} \right]\]

is in the span of

\[S=\left\{ \left[ \begin{matrix} -1 \\ 5 \\ 2 \\ \end{matrix} \right],\left[ \begin{matrix} 1 \\ 3 \\ 4 \\ \end{matrix} \right],\left[ \begin{matrix} 1 \\ -1 \\ 1 \\ \end{matrix} \right] \right\}\]