Exercise SS.C43 Robert Beezer

Suppose $R=\set{\colvector{2\\-1\\3\\4\\0},\,\colvector{1\\1\\2\\2\\-1},\,\colvector{3\\-1\\0\\3\\-2}}$. Is $\vect{z}=\colvector{1\\1\\5\\3\\1}$ in $\spn{R}$?

Solution