Consider the following sets of vectors. Determine whether the sets are subspaces of R 3. If a set is a not a subspace, explain why. If a set is a subspace, give a basis and its dimension. A) S is the set of vectors of the form (a, 1, 3).
B) S is the set of vectors of the form (a, 0, 0).
C) S is the set of vectors of the form (2a, b, a 1)
D) S is the set of vectors of the form (2a, b 1, a).
E) S is the set of vectors of the form (a 2 , b2 , a2 b 2 ).