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undergraduate thesis
Jordanova forma matrice
Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Applied Mathematics and Informatics, 2023. urn:nbn:hr:126:911764
Puhanić, Monika
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

Institutional repository: Repository of School of Applied Mathematics and Computer Science

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Puhanić, M. (2023). Jordanova forma matrice (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:911764

Puhanić, Monika. "Jordanova forma matrice." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:911764

Puhanić, Monika. "Jordanova forma matrice." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:911764

Puhanić, M. (2023). 'Jordanova forma matrice', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 21 June 2024, https://urn.nsk.hr/urn:nbn:hr:126:911764

Puhanić M. Jordanova forma matrice [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2023 [cited 2024 June 21] Available at: https://urn.nsk.hr/urn:nbn:hr:126:911764

M. Puhanić, "Jordanova forma matrice", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:126:911764

Metadata
TitleJordanova forma matrice
Title (english)Jordan Form Of A Matrix
AuthorMonika Puhanić
MentorLjiljana Primorac Gajčić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2023-09-22, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
Tema ovog rada je Jordanova forma matrice. U radu su definirani osnovni pojmovi iz linearne algebre, kao što su svojstvene vrijednosti, karakteristični i minimalni polinom, dijagonalizacija matrice, Jordanovi lanci te invarijantni potprostori. Predstavljena je motivacija za uvođenje Jordanove forme matrice, te je objašnjen postupak njezinog određivanja. Navedeni su teoremi o egzistenciji i jedinstvenosti navedene forme, te je na primjeru objašnjen postupak određivanja Jordanove forme matrice. Također su navedeni problemi pri numeričkom računanju Jordanove forme te je istaknuta njezina važnost kod primjene matričnih funkcija.
Abstract (english)
The topic of this paper is the Jordan form of a matrix. In the paper are defined the basic terms from linear algebra such as eigenvalues, characteristic and minimum polynomial, matrix diagonalization, Jordan chains and invariant subspaces. The motivation for introducing Jordan form is presented and the procedure for its determination is explained. Theorems of the existence and uniqueness of the given form are stated, and the procedure for determining the Jordan form of the matrix is explained using an example. There are also stated problems in the numerical calculation of Jordan form and importance of its application for matrix functions
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:911764
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
Created on2023-10-09 07:54:45