Problem 6. (Exercise 6 in the lecture on6.23) Finish the proof of either of the following statements: (a) Let S =then S contains a subset S', such that S' is a basis ofV.{v1, v2, ..., Um} be a spanning set of a finite dimensional F-vector space V, (b) Let S = {v1, V2, . .. , Um} be a linearly independent set of a finite dimensional F-vector space V, then S is a subset of some S' C V, such that S' is a basis of V. Using the statement that you proved, show that if W is a subspace of V, then dim W