Assignment:
Prove that for every set {x0, x1,...,xk} of vectors in Rn conv(x0 , x1 ,...,xk) = {x ∈ Rn : x is a convex combination of x0, x1,...,xk}.
The convex hull conv(x0, x1,...,xk) is defined in Definition.
Provide complete and step by step solution for the question and show calculations and use formulas.