In the matrix simplex tableau, suppose that X = 1XI, XII2T, where XII corresponds to a typical starting basic solution (consisting of slack and/or artificial variables) with B = I, and let C = 1CI, CII2 and a = 1D, I2 be the corresponding partitions of C and a, respectively. Show that the matrix simplex tableau reduces to the same form used in Chapter 3—namely, Basic XI XII Solution z CBB -1D - CI CBB -1 - CII CBB -1b XB B -1D B -1 B -1b