Abstract

We considered Gaussian Elimination and inversion techniques for solving systems of linear equations. These equations feature predominantly in Science, Engineering and the social sciences. Both methods use specific matrix operations (elementary row operations) to obtain exact solutions to systems of equations. A review of the methods was presented, and an efficient, reliable and dependable technique was proposed to enhance effective teaching and learning of Mathematics. The comparison was made based on the number of operations visas versus the number of variables. The paper concludes that Gaussian Elimination was significantly more efficient and reliable when the number of variables increased.