Working within the vector space $\complex{4}$, determine if $\vect{b} = \colvector{1\\1\\0\\1}$ is in the subspace $W$, \begin{equation*} W =\spn{\set{ \colvector{1\\2\\-1\\1}, \colvector{1\\0\\3\\1}, \colvector{2\\1\\1\\2} }} \end{equation*}