2. (40 points) True or False? For each statement below determine whether or not the statement is true or false. If true, then give an explanation why. If false, either explain why or give a counter-example t0 the statement. (d) If M is an n X 71 matrix with linearly independent columns, then M is a change of basis matrix, i.e., M = (e, f) for some bases e and f of R\". (e) If M is a square matrix and LE : V ) V are linear operators such that M = MUS, e) = Mie'): then im(L) = im(L'). (f) If M is an invertible n X n matrix and e = (v1,v2,...,vn) is a basis of R\