Linear Systems: Resolution and Solutions

This lecture covers the resolution of linear systems, focusing on finding the solutions through the concepts of principal and free unknowns. It explains the distinction between homogeneous and non-homogeneous linear equations, emphasizing the importance of echelons. The lecture also delves into the process of obtaining solutions by fixing arbitrary values for free unknowns, leading to the definition of equations with and without a right-hand side. Additionally, it explores the concept of column spaces and the reduced row echelon form, providing insights into the fundamental principles of linear algebra.