$$V=\mathbb{R}^3 $$
and the set of vectors is given by $$[(1,1,-1),(2,0,1),(-1,1,-2),(1,2,1)]$$
If I understand this correctly, I need to choose a basis such that you can use different combinations of the vectors in the basis to for $(x,y,z)$ such that $x,y,z$ are part of the Real numbers.
I can do this question with enough time by trying different combinations of vectors but I was curious if there was a simpler approach to this question.