Q2. [7 POINTS] Suppose that B = {111,112} is a basis for a vector space V over IR and B* 2 {f1, f2} is the corresponding dual basis for V*. a) Show that C = {111 + 112,111 112} is a basis for V. b) Find the corresponding dual basis 0* = {g1, 92} of C = {111 + 112,111 112}. For any v = alul + (12112 E V, you must give the explicit value of 91(v) and g2(v). c) Express 91 and 92 each as a linear combination of f1 and f2