They would need to be linearly independednt and span the space.

Well what do your notes say?2) What would be the dimension of V in this case ?

Well are they linearly independednt? If no what is the largest subset of them which is linearly independednt?3) Find the dimension and a basis for the linear subspace R^3 spanned by the vectors:

(3,-2,4) (1,-1,0) (3,-1,8)

You know what you have to do, show they are linearly independednt and that they span R^34) Show that the vectors (1,1,0) (1,0,1) (0,1,1) form a basis for R^3

CB5) Find the components of the vector (3,4,5) in the basis considered in 4

this is no homework, this is a past exam papers without answers, i could really use this answers to revise, thank you in advance !