The Gaussian method is a method that is based on transforming a system of equations into a corresponding one in a way in which it is stepped; This method is used to solve mathematical problems based on linear equation problems. Given that this Gaussian procedure can be used in all types of systems of linear equations that produce a matrix, which is square in order to have a unique solution, and the system must have as many equations as unknowns, we speak of a matrix of coefficients with non-zero diagonal components; It should be noted that the convergence of the method is only supported if said matrix is diagonally dominant or if it is symmetric and at the same time positive.
In linear algebra, the Gaussian method is an algorithm for systems of linear equations. It is generally understood as a sequence of operations performed on the associated matrix of coefficients. This method also, as mentioned above, can be used to find the rank of a matrix, to calculate the determinant of a matrix, and to calculate the inverse of an invertible square matrix.
The name of this method was described in honor of 2 great mathematicians, one of them the German, named as the prince of mathematics, Carl Friedrich Gauss, who was a great mathematician, geodest, physicist and astronomer, who contributed great research in different fields, which include mathematical analysis, statistics, number theory, algebra, optics, differential geometry, among others. Another who contributed with the Gauss method was, the astronomer, mathematician and optician, Philipp Ludwig von Seidel, also German, born in Munich.
