2) Let V be a vector space over the complex numbers C. In particular, one has a multiplica- tion of elements of V by real numbers R. It is straightforward to verify that the addition in V together with this multiplication by real numbers turns V into a vector space over R. We denote this vector space by V3. a) Find dim C and dim, C. b) Suppose that x,, X2,..., X is a basis of V. Show that x1, ix, X2, ix1, ...,Xn, ix, is a basis of VR. c) Show that 2 dimc V = dimg Va.