section_path: Endomorphisms and square matrices
section_name: Endomorphisms and square matrices
paragraph_text: Endomorphisms and square matrices
  
  A linear endomorphism is a linear map that maps a vector space V to itself. If V has a basis of n elements, such an endomorphism is represented by a square matrix of size n.
  
  With respect to general linear maps, linear endomorphisms and square matrices have some specific properties that make their study an important part of linear algebra, which is used in many parts of mathematics, including geometric transformations, coordinate changes, quadratic forms, and many other part of mathematics.