Résumé de section

  • This chapter introduces fundamental concepts of sets, elements, subsets, and set operations (union, intersection, complement) that are frequently used in linear algebra, it focuses also on functions and mappings, including injective, surjective, and bijective functions. It explores the composition of functions and the concept of reciprocal functions, which are crucial for understanding transformations and operations. Additionally, it discusses the direct and inverse images of sets under a function, providing students with the essential tools to represent and analyze mathematical relationships and functions. These concepts are fundamental for a wide range of applications in linear algebra, including linear transformations, matrix operations, and system-solving.