Determine whether the following set of vectors $\{v_1,v_2,v_3\}$ in $R^3$ is linearly independent. $v_1=\left[\begin{array}{c}1\\ -1\\ 2\end{array}\right],v_2=\left[\begin{array}{c}1\\ 1\\ 2\end{array}\right],v_3=\left[\begin{array}{c}0\\ 0\\ 1\end{array}\right]$