Sistemul fundamental de soluţii al unui sistem de ecuaţii liniare [Articol]

Abstract

This article discusses the concept of homogeneous systems of linear equations, which are essential in linear algebra and widely applied in fields such as physics, engineering, economics, and computer science. It defines homogeneous systems by the condition that all free terms are zero, explores their properties, and explains the importance of the solution space structure. Special attention is given to the fundamental system of solutions, a concept used to describe the basis of the solution space for such systems. The goal is to provide a clear understanding of the topic and prepare the ground for practical applications and further generalizations.