Application of Matrices to the Solution of Systems of Linear Equations

Mathematics — 2025, Undergraduate

This study applied matrix methods to the solution of systems of linear equations arising in applied contexts. Systems were solved using Gaussian elimination, matrix inversion, and determinant-based approaches, and results were verified by substitution. The findings revealed that matrix methods handled small and medium systems efficiently and exposed existence and uniqueness conditions clearly. The study observed that pivoting improved numerical stability. It recommends routine use of matrix formalism in solving and analysing linear systems.

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