Structure of a linear endomorphism
| dc.contributor.affiliation | Universidade de Santiago de Compostela. Departamento de Matemáticas | |
| dc.contributor.author | Vale Gonsalves, María Jesús | |
| dc.date.accessioned | 2022-08-26T07:10:53Z | |
| dc.date.available | 2022-08-26T07:10:53Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | 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 | gl |
| dc.identifier.uri | http://hdl.handle.net/10347/29149 | |
| dc.language.iso | eng | gl |
| dc.rights | ©2022, A autora. Este traballo está baixo unha licenza Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internacional | |
| dc.rights.accessRights | open access | gl |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | Eigenvalues | gl |
| dc.subject | Eigenvectors | gl |
| dc.subject | Similar matrices | gl |
| dc.subject | Jordan canonical form of an endomorphism and of a matrix | gl |
| dc.subject | Nilpotence | gl |
| dc.subject | Jordan-Chevalley decomposition | gl |
| dc.subject | Powers of endomorphisms and matrices | gl |
| dc.subject | Exponential matrix | gl |
| dc.title | Structure of a linear endomorphism | gl |
| dc.type | other | gl |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | e8e87e57-5570-4c19-a381-008df8e68155 | |
| relation.isAuthorOfPublication.latestForDiscovery | e8e87e57-5570-4c19-a381-008df8e68155 |
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