matrices and simplex method

Problem #6 (10 points) - Another Way of Computing 3\" From B1 Suppose that B is an invertible m X m matrix and that B = B + va for m x 1 columns v and w. a.) (5 points) Show by simple multiplication that B'lvaB_l T1_ 1_ (BMW) 'B 1+wTB-1v provided that 1 + WTB_1V 75 0. b.) (5 points) Let B and E be basis matrices before and after an iteration of the simplex method, reSpectively, and let A B( L) and A 5% L) be the exiting and entering columns of A, reSpectively. Show that B=B+va where v and w are columns that you must determine and show that 1 + WTB_1V # 0 for this choice of v and w