YOBE STATE GENIUS

  Simulation of Simultaneous Equation Using Crammers Rule CHAPTER ONE: INTRODUCTION 1.1 BACKGROUND OF THE STUDY              In  linear algebra , Cramer's rule is an explicit formula for the solution of a  system of linear equations  with as many equations as unknowns, valid whenever the system has a unique solution. It expresses the solution in terms of the  determinants  of the (square) coefficient and of  matrices  obtained from it by replacing one column by the column vector of right-hand-sides of the equations. It is named after  Gabriel Cramer  (1704–1752), who published the rule for an arbitrary number of unknowns in 1750, although  Colin Maclaurin  also published special cases of the rule in 1748 (and possibly knew of it as early as 1729).          Cramer's rule implemented in a naïve way is computationally inefficient for systems of more than two or three equations. [7]  In the case of  n  equations in  n  unknowns, it requires computation of  n  + 1  determinant

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