For the matrix $E$ below, find vectors $\vect{b}$ and $\vect{c}$ so that the system $\linearsystem{E}{\vect{b}}$ is consistent and $\linearsystem{E}{\vect{c}}$ is inconsistent. \begin{equation*} E= \begin{bmatrix} -2 & 1 & 1 & 0\\ 3 & -1 & 0 & 2\\ 4 & 1 & 1 & 6 \end{bmatrix} \end{equation*}