ABSTRACT

This chapter discusses a different method to solve a set of linear algebraic equations. Algebraic equations differ from transcendental equations in the fact that in the latter the independent variables appear in trigonoametric, logarithmic, exponential, or some other form whereas in the former they appear alone. In the connection, it is important to have a basic knowledge of matrix techniques because, in the solution of a set of equations, the matrix concept is used extensively. In order to use matrix representation of a set of equations properly, it is necessary to know the rules for doing arithmetic manipulations with matrices. An interchange in columns also implies an interchange in the position of the solution vector. The Gauss-Jordan elimination method is also a direct method for the solution of a set of simultaneous linear algebraic equations and also for the matrix inversion.