This App presents the basis of the Gauss-Jordan Method, which is a linear algebra technique for solving systems of linear equations and transforming an augmented matrix into its reduced form by lines, arriving at the identity matrix on the left side and the solutions on the right side. The content is developed with a step-by-step example and at the end the user can check this resolution and as many as desired in the order 3 x 4. It is important to highlight the use of Generative AI to organize the theoretical part.