@TECHREPORT{Cas_Vec_2020, author = "Castro Martínez, Paola Andrea", title = "Vectores propios generalizados y forma canónica de Jordan", abstract = "In this work, generalized eigenvalues are used to study the Jordan normal form and some applications of this are shown. We prove that C n can be decomposed as a direct sum of generalized proper subspaces by using annihilating polynomials and the minimal polynomial. We also prove that each generalized eigensubspace can be decomposed as a direct sum of Jordan cyclic subspaces. Finally, the Jordan Theorem is proved by using the above decompositions.", year = 2020, institution = "Universidad de Cordoba", url = "https://repositorio.unicordoba.edu.co/handle/ucordoba/2872", }