Abstract : We shall provide a Gauss-Seidel method for solving linear equations and explore its convergence in this work. The purpose of this work is to describe and report on an experiment that was conducted to assess students' understanding of the Gauss-Seidel method. To demonstrate its efficacy, some samples are taken. I've included tasks to investigate the learner's ability to state the theorem and apply it to reasoning tasks, the impact of several concept images on their reasoning about the theorem, and the learner's ability to examine the relationship between the Gauss-Seidel method and other related mathematical concepts.