Question

Let v₁=[[-2],[-3],[-4]], v₂=[[-3],[1],[-2]], v₃=[[5],[-9],[-2]], and H=Span(v₁, v₂, v₃). Note that v₃=2v₁-3v₂. Which of the following sets form a basis for H?
1) {v₁, v₂, v₃}
2) {v₁, v₂}
3) {v₁, v₃}
4) {v₂, v₃}