Consider the set S = {v, = (1,0,0),vz = (0,1,0), v3 = (0,0,1).v4 = (1,1,0), Vs = (1, 1, 1)) a) Give a subset of vectors from this set that is linearly independent but does not span R. Explain why your answer works. b) Give a subset of vectors from this set that spans R but is not linearly independent. Explain why your answer works.