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undergraduate thesis
Primjena matričnog računa u rješavanju sustava linearnih jednadžbi
2020. urn:nbn:hr:137:178077
Zulić, Denis
University of Pula
Faculty of Informatics in Pula

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Zulić, D. (2020). Primjena matričnog računa u rješavanju sustava linearnih jednadžbi (Undergraduate thesis). Pula: University of Pula. Retrieved from https://urn.nsk.hr/urn:nbn:hr:137:178077

Zulić, Denis. "Primjena matričnog računa u rješavanju sustava linearnih jednadžbi." Undergraduate thesis, University of Pula, 2020. https://urn.nsk.hr/urn:nbn:hr:137:178077

Zulić, Denis. "Primjena matričnog računa u rješavanju sustava linearnih jednadžbi." Undergraduate thesis, University of Pula, 2020. https://urn.nsk.hr/urn:nbn:hr:137:178077

Zulić, D. (2020). 'Primjena matričnog računa u rješavanju sustava linearnih jednadžbi', Undergraduate thesis, University of Pula, accessed 20 December 2024, https://urn.nsk.hr/urn:nbn:hr:137:178077

Zulić D. Primjena matričnog računa u rješavanju sustava linearnih jednadžbi [Undergraduate thesis]. Pula: University of Pula; 2020 [cited 2024 December 20] Available at: https://urn.nsk.hr/urn:nbn:hr:137:178077

D. Zulić, "Primjena matričnog računa u rješavanju sustava linearnih jednadžbi", Undergraduate thesis, University of Pula, Pula, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:137:178077

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Metadata
TitlePrimjena matričnog računa u rješavanju sustava linearnih jednadžbi
Title (english)Application of Matrix Calculus in Solving Systems of Linear Equations
AuthorDenis Zulić
MentorDanijela Rabar (mentor)
Committee memberSiniša Miličić (predsjednik povjerenstva)
Committee memberDanijela Rabar (član povjerenstva)
Committee memberIngrid Hrga (član povjerenstva)
GranterUniversity of Pula
(Faculty of Informatics in Pula)
Pula
Defense date and country2020-09-24, Croatia
Scientific / art field,
discipline and subdiscipline		SOCIAL SCIENCES
Information and Communication Sciences
Information Systems and Information Science
Abstract
Kroz ovaj završni rad upoznali smo se s korištenjem matrica u sustavima linearnih jednadžbi. Tema je obrađena kroz primjere rješavanja zadataka iz svakodnevnog života. Rad najprije govori općenito o matricama. Navode se vrste matrica, a nakon toga se prikazuju najosnovnije operacije s matricama. Rad zatim predočava kako funkcioniraju determinante te se govori o njihovim općenitim obilježjima. Prikazani su primjeri determinanti te kako se one izračunavaju ovisno o njihovom redu. Nakon determinanti slijedi inverz, te elementarne transformacije. Nakon toga rad prelazi na sustave linearnih jednadžbi gdje se prikazuje kako funkcioniraju Gauss i Gauss-Jordanova metoda eliminacije i Cramerovo pravilo. Zadnje se prikazuju Matrix Reshish i OnlineMSchool aplikacije koje su izvrsne kada želimo računati pomoću matrica jer ispisuju svaki korak. Rad je koristan i zanimljiv prvenstveno zato jer prikazuje konkretne primjere koji se mogu pojaviti u praksi.
Abstract (english)
Through this final paper, we are introduced to the use of matrices in systems of linear equations. The topic is covered through examples of solving tasks from everyday life. The final paper first talks about matrices in general. The types of matrices are listed, followed by the most basic operations with matrices. The final paper then presents how the determinants work and discusses their general characteristics. Examples of determinants and how they are calculated depending on their order are presented. The determinants are followed by the inverse and elementary transformations. The final paper then moves on to systems of linear equations where the Gauss and Gauss-Jordan elimination method and even the Cramer's rule are shown. Finally, Matrix Reshish and OnlineMSchool applications are presented that are suitable when for computing using matrices as they display every step. The final paper is useful and interesting primarily because it presents concrete examples that may emerge in practice.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:137:178077
Study programmeTitle: Informatics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) informatike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2020-10-06 12:18:19