Show how Phase I of the simplex method can be used to solve n simultaneous linear equations in n unknowns. Show how the following cases can be detected: a. Inconsistency of the system. b. Redundancy of the equations. c. Unique solution. Also show how the inverse matrix corresponding to the system of equations can be found in Part (c). Illustrate using the following system: X3 = 4 X2 + 3x = 3 = 5. X + 2x2 3x + 5x2 5x3