Let f₁ = (2,0,1), f₂ = (-1,1,3), and f = (0, -2, 1). (a)

Last updated: 8/14/2022

Let f₁ = (2,0,1), f₂ = (-1,1,3), and f = (0, -2, 1). (a) Show that the set F= {f₁.f₂. fs} is linearly independent. Thus, show that F is a basis for R³. (b) Is the basis F positively oriented or negatively oriented? Justify your answer!