Solution of systems of linear equations

Abstract IN this note we give a detailed description of a method for finding one of the fundamental systems of solutions of a system of linear homogeneous equations as suggested in [1], and extend it to the case of a non-homogeneous system. The special feature of the method is that it is not necessary during the calculations to perform the inverse process needed to obtain the values of the unknowns by the Gauss method. Moreover, in the last step all the vectors which comprise the fundamental system of solutions are found at once.