Chapter 1.7, Problem 50E

If the set $\left\{v_{\text{1}}\text{,}{v}_{\text{2}}{v}_{\text{3}}\right\}$ of vectors in $R^m$ is linearly dependent, then argue that the set $\left\{v_{\text{1}}\text{,}{v}_{\text{2}}{v}_{\text{3}},v_4\right\}$ is also linearly dependent for every choice of $v_4$ in $R^m$.