Chapter 3.2, Problem 43E

Consider three linearly independent vectors ${\stackrel{\to }{v}}_1,{\stackrel{\to }{v}}_2,{\stackrel{\to }{v}}_3$ in ${ℝ}^n$ . Are the vectors ${\stackrel{\to }{v}}_1,{\stackrel{\to }{v}}_1+{\stackrel{\to }{v}}_2,{\stackrel{\to }{v}}_1+{\stackrel{\to }{v}}_2+{\stackrel{\to }{v}}_3$ linearlyindependent as ve1l’? How can you tell’?