Chapter 3.2, Problem 39E

Consider some linearly independent vectors ${\stackrel{\to }{v}}_1,{\stackrel{\to }{v}}_2,\mathrm{...},{\stackrel{\to }{v}}_m$ in ${ℝ}^n$ and a vector ${\stackrel{\to }{v}}_1$ in ${ℝ}^n$ that is not contained inthe span of ${\stackrel{\to }{v}}_1,{\stackrel{\to }{v}}_2,\mathrm{...},{\stackrel{\to }{v}}_m$ . Are the vectors ${\stackrel{\to }{v}}_1,{\stackrel{\to }{v}}_2,\mathrm{...},{\stackrel{\to }{v}}_m$ , ${\stackrel{\to }{v}}_1$ necessarily linearly independent? Justify youranswer.