Abstract: In this paper, a system of linear equations will be solved using matrices, and we will discuss the solution using the direct method, which is the method that leads to the exact solution after a limited number of simple arithmetic operations.
The Gaussian elimination method will be used by converting the system into a trigonometric system and then using the back substitution method.
As for the second method, which is the Gauss-Jordan method for deletion, we perform a deletion process for a specific variable from all the equations after dividing an equation by the anchor element, which finally we get a matrix of diagonal equations, rather it is a matrix of unity.
Keywords: Linear Equation, Matrix, Unit matrix, Diagonal matrix, Pivot element, Determinant.
Title: Direct Methods to Systems of Linear Equations (Gauss elimination and Gauss – Jordan)
Author: Ebrahim Hasan A. Hasan
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
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