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undergraduate thesis
Ortogonalni operatori i primjena u programskom jeziku C++
2015. urn:nbn:hr:200:329427
Birtić, Kristijan
Josip Juraj Strossmayer University of Osijek
Faculty of Electrical Engineering, Computer Science and Information Technology Osijek
Department of Core Courses
Chair of Mathematics, Physics and Mechanical Engineering

Cite this document

Birtić, K. (2015). Ortogonalni operatori i primjena u programskom jeziku C++ (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek. Retrieved from https://urn.nsk.hr/urn:nbn:hr:200:329427

Birtić, Kristijan. "Ortogonalni operatori i primjena u programskom jeziku C++." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, 2015. https://urn.nsk.hr/urn:nbn:hr:200:329427

Birtić, Kristijan. "Ortogonalni operatori i primjena u programskom jeziku C++." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, 2015. https://urn.nsk.hr/urn:nbn:hr:200:329427

Birtić, K. (2015). 'Ortogonalni operatori i primjena u programskom jeziku C++', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, accessed 15 November 2024, https://urn.nsk.hr/urn:nbn:hr:200:329427

Birtić K. Ortogonalni operatori i primjena u programskom jeziku C++ [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek; 2015 [cited 2024 November 15] Available at: https://urn.nsk.hr/urn:nbn:hr:200:329427

K. Birtić, "Ortogonalni operatori i primjena u programskom jeziku C++", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, Osijek, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:200:329427

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Metadata
TitleOrtogonalni operatori i primjena u programskom jeziku C++
Title (english)Orthogonal operators and applications in C programming language
AuthorKristijan Birtić
MentorTomislav Rudec (mentor)
MentorAnita Katić (mentor)
Committee memberTomislav Rudec (član povjerenstva)
Committee memberHrvoje Glavaš (član povjerenstva)
Committee memberMario Vranješ (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Faculty of Electrical Engineering, Computer Science and Information Technology Osijek
(Department of Core Courses)
(Chair of Mathematics, Physics and Mechanical Engineering)
Osijek
Defense date and country2015-09-24, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Computing
Abstract
Cilj ovog rada je opisati linearne i ortogonalne operatore, te napisati program koji će provjeravati je li zadana matrica ortogonalna i računat će svojstvene vrijednosti te matrice. Najprije je definiran linearni operator, opisano je kako mu je pridružena matrica u ravnini i prostoru i dani su neki primjeri. Nakon toga je definiran ortogonalni operator, pokazano je kako mu je pridružena matrica u prostoru i ravnini, opisana su svojstva ortogonalnih matrica i navedeni su neki primjeri ortogonalnih operatora. Nadalje, objašnjene su svojstvene vrijednosti i način njihovog rješavanja na običnim i ortogonalnim matricama. Na osnovu toga, uspješno je izrađen program koji korisniku omogućuje unos bilo koje matrice drugog ili trećeg reda, te provjerava je li ona ortogonalna i računa svojstvene vrijednosti te matrice. Na kraju rada dan je dijagram toka programa i detaljno su opisane funkcije koje se koriste u programu.
Abstract (english)
The aim of this paper is to describe linear and orthogonal operators and to write a program that will check if the given matrix is orthogonal and calculate its eigenvalues. Firstly, the linear operator is defined, it is described how it has an associated matrix in plane and space and some examples are given. Then, the orthogonal operators are defined, it is showed how it has an associated matrix in plane and space, the properties of orthogonal matrices are defined and some examples of orthogonal operators are given. Furthermore, it is explained what are eigenvalues and how to solve them on normal and orthogonal matrices. On that basis, a program has been successfully made which allows the user to input any matrix of the second or third order, it checks whether the matrix is orthogonal and it calculates the eigenvalues of that matrix. Lastly, there is the program flowchart and thoroughly described functions that are used in the program.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:200:329427
Study programmeTitle: Undergraduate University Study Programme in Computer Engineering
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva)
Type of resourceText
File originBorn digital
Access conditionsOpen access
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Created on2016-05-16 12:23:17