How do span, basis, and linear independence relate to each other? Let W be a subspace of R\". Let .cz?' = {V1, ..., vm} be a set of vectors in W. Let be the new set of vectors created by adding w to the list of vectors in .21\The vectors in %: MUST be linearly independent. MUST span W. m MUST be a basis for W. m CANNOT be linearly independent. C] None of these. C] CANNOT span W. C] CANNOT be a basis for W. (c) Suppose the vectors in .2? are linearly independent. What can you say? Select ALL that apply. The vectors in .rzf: C] MUST span W. C] CANNOT be a basis of W. MUST be a basis of W. N None of these. CANNOT span W. The vectors in Q: C] CANNOT span W. C] CANNOT be a basis for W. MUST be linearly independent. C] CANNOT be linearly independent. MUST span W. C] None of these. MUST be a basis for W