Abstract

The matrix inversion technique is one of the tools for solving a system of linear equations. An alternative approach to computing the inverse of square matrices is proposed here using Cramer's rule in solving a linear equation system. The inverse is obtained as a coefficient of a catalytic column vector of a supposed solution of a linear system of equation 𝑨𝑿=𝒃. This inverse is used to obtain a unique solution of systems of linear equations of various sizes of unknown with practical illustrations shown.