RT Generic
T1 Structure of a linear endomorphism
A1 Vale Gonsalves, María Jesús
K1 Eigenvalues
K1 Eigenvectors
K1 Similar matrices
K1 Jordan canonical form of an endomorphism and of a matrix
K1 Nilpotence
K1 Jordan-Chevalley decomposition
K1 Powers of endomorphisms and matrices
K1 Exponential matrix
AB Given  an n-dimensional vector space V over a field K, it is proved that if f is an endomorphism of V whose characteristic polynomial has its  n roots in K, then f has a Jordan canonical form. The concept of nilpotent endomorphism is defined and the Jordan-Chevalley decomposition theorem is proved. From this theorem it is possible to calculate the powers and the exponential of complex matrices, knowing their eigenvalues
YR 2022
FD 2022
LK http://hdl.handle.net/10347/29149
UL http://hdl.handle.net/10347/29149
LA eng
DS Minerva
RD 25 abr 2026