Vectors of Identity matrix are the only Solution for a Special Linear System of Equations and Linear Programming Problems

Abstract

This article is going to prove that the vectors of identity matrix are the only solutions for special kind of linear system of equations with n equations n unknown problems and for the Linear Programming Problems (LPP) problems of n variables if the objective function is Maximize and also we are also going to prove if it is given in LPPtoMinimize objective function the optimal solution is trivial solution (zero solution) and therefore MinZ=0.