Please read: If we choose V=R^2 and {(1,1),(2,2)}, but we can choose span{(1,1)} to create {(1,1),(2,2)}, so does not it mean that span{(1,1)} is the smallest subspace that contains {(1,1),(2,2)} instead of span{(1,1),(2,2)}.

tion that none of the polynomials has degree 0 or 2. Question 6. Prove that in a vector space V, Span(v, ..., .} is the smallest subspace that contains {v1, ..., vx}. Question Prov