Endomorphisms: Matrix Equivalence

This lecture covers the concept of endomorphisms, focusing on the case of endomorphisms between vector spaces. The instructor discusses the properties of endomorphisms, including matrix equivalence and the application of conjugation. The lecture also delves into the notion of the adjoint map and its role as a group homomorphism, highlighting the kernel formed by scalar matrices. Various propositions and definitions related to endomorphisms and matrix equivalence are presented, emphasizing the importance of understanding the relationships between matrices and linear transformations.