Niringiye, Richard2024-01-172024-01-172021Niringiye, Richard (2021). A Comparison of Gaussian Elimination and Cholesky Decomposition Methods in Solving a System of Linear Equations. Kabale: Kabale University.http://hdl.handle.net/20.500.12493/1702There are several methods of solving a system of linear equations,. some of which are direct methods and others are iterative methods. In this work, .we study direct methods specifically Gaussian elimination and Cholesky decomposition and make a comparison between the two. It is found out that Gaussian elimination is an algorithm in linear algebra for solving a system of linear equations and can also 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 Whereas Cholesky decomposition is a decomposition of a Hermitian, positive-definite matrix into the product of a lower triangular matrix and its conjugate transpose, which is useful for efficient numerical solutions.en-USAttribution-NonCommercial-NoDerivs 3.0 United StatesComparisonGaussian EliminationCholesky Decomposition MethodsSolvingSystemLinear EquationsThesis