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undergraduate thesis
Nilpotentni operatori i matrice
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. urn:nbn:hr:126:667906
Romić, Nikolina
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics and Computer Science
Geometry and Mathematics Teaching Mathematics Research Group

Cite this document

Romić, N. (2016). Nilpotentni operatori i matrice (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:667906

Romić, Nikolina. "Nilpotentni operatori i matrice." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:667906

Romić, Nikolina. "Nilpotentni operatori i matrice." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:667906

Romić, N. (2016). 'Nilpotentni operatori i matrice', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 22 January 2025, https://urn.nsk.hr/urn:nbn:hr:126:667906

Romić N. Nilpotentni operatori i matrice [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2016 [cited 2025 January 22] Available at: https://urn.nsk.hr/urn:nbn:hr:126:667906

N. Romić, "Nilpotentni operatori i matrice", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:126:667906

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Metadata
TitleNilpotentni operatori i matrice
Title (english)Nilpotent Operators and Matrices
AuthorNikolina Romić
MentorDarija Marković (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics and Computer Science)
(Geometry and Mathematics Teaching Mathematics Research Group)
Osijek
Defense date and country2016-09-22, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
U radu ćemo se baviti nilpotentnim operatorima i njihovim matričnim zapisom, njihovim svojstvima te bitnim tvdnjama. Definirat ćemo pojmove koje ćemo koristiti u daljnjem radu, a to su na primjer vektorski prostor, baza i dimenzija vektorskog prostora, linearan operator, svojstvena vrijednost operatora, determinanta matrice i drugi. Zanimat će nas što je to indeks nilpotentnosti vektora, indeks nilpotentnosti operatora i koja je povezanost između njih; elementarna Jordanova klijetka te drugi pojmovi koje ćemo definirati i koristiti. Pogledat ćemo i što su Jordanovi lanci te koja je njihova veza s nilpotentnim operatorima i elementarnim Jordanovim klijetkama. Pokazat ćemo koja posebna svojstva vrijede za nilpotentne matrice i tražit ćemo primjere.
Abstract (english)
In this work our topic will be nilpotent operators and their matrices, their characteristics and important theorems. We will define terms that will help us in later work. Those are, for example, vector space, base and dimension of vector space, linear operator, eigenvalue, determinant and others. Our interest will be in the height of a vector, the height of a nilpotent operator and what is a connection between them; Jordan block of a nilpotent operator and other terms wich will be defined and used. Also, we shall observe the chains and their relation with nilpotent operators and Jordan blocks. We will show what special characteristics are valid for nilpotent matrices and search for some examples
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:667906
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
RepositoryRepository of School of Applied Mathematics and Informatics
Created on2016-09-23 05:42:04