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master's thesis
Sličnost matrica
Zagreb: University of Zagreb, Faculty of Science, 2019. urn:nbn:hr:217:267584
Međimurec, Ana
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Međimurec, A. (2019). Sličnost matrica (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:267584

Međimurec, Ana. "Sličnost matrica." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:267584

Međimurec, Ana. "Sličnost matrica." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:267584

Međimurec, A. (2019). 'Sličnost matrica', Master's thesis, University of Zagreb, Faculty of Science, accessed 26 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:267584

Međimurec A. Sličnost matrica [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2019 [cited 2024 November 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:267584

A. Međimurec, "Sličnost matrica", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:217:267584

Metadata
TitleSličnost matrica
AuthorAna Međimurec
MentorDijana Ilišević (mentor)
Committee memberDijana Ilišević (predsjednik povjerenstva)
Committee memberMaja Resman (član povjerenstva)
Committee memberRudi Mrazović (član povjerenstva)
Committee memberIvica Nakić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2019-11-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Za matrice \(A, B\in M_n(\mathbb{F})\) kažemo da su slične nad poljem \(\mathbb{F}\) ako postoji regularna matrica \(P\in M_n(\mathbb{F})\) takva da je \(B=P^{-1}AP\). U ovom diplomskom radu izloženi su različiti nužni i dovoljni uvjeti za sličnost matrica. Sličnost matrica promatramo kao moćan alat za transformaciju matrica u što jednostavniji oblik, misleći pritom na dijagonalne ili trokutaste matrice.
Abstract (english)
Matrices \(A, B\in M_n(\mathbb{F})\) are said to be similar over a field \(\mathbb{F}\) if there exists an invertible matrix \(P\in M_n(\mathbb{F})\) such that \(B=P^{-1}AP\). In this thesis various necessary and sufficient conditions for the similarity of matrices are presented. We consider the similarity of matrices as a powerful tool for transforming matrices into simpler forms, like diagonal or triangular matrices.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:267584
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Embargo expiration date: 2020-10-10
Terms of useLicence In copyright icon
Created on2020-07-10 10:01:47