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http://hdl.handle.net/2445/164899
Title: | Forma canònica de Weyr i aplicacions |
Author: | Fernàndez Zacarı́as, Héctor Pablo |
Director/Tutor: | Montoro López, M. Eulàlia |
Keywords: | Formes (Matemàtica) Treballs de fi de grau Matrius (Matemàtica) Àlgebres de Jordan Forms (Mathematics) Bachelor's theses Matrices Jordan algebras |
Issue Date: | 18-Jan-2020 |
Abstract: | [en] Matrix canonical forms (with respect to similarity) provide exemplars for each similarity class, and let us study in a simpler way some properties of the square matrices. We will focus on the Weyr canonical form. We will see that although it’s the best known, the Jordan form it’s not always the most suitable form for the study of a given matrix. In general, we can’t say there is a best canonical form, it will depend on each case. We will see differents proofs of the existence and uniqueness of the canonical forms, how to calculate them, the relationships between them, and some applications. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: M. Eulàlia Montoro López |
URI: | http://hdl.handle.net/2445/164899 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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164899.pdf | Memòria | 647.9 kB | Adobe PDF | View/Open |
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