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undergraduate thesis
Blok-matrice
2024. urn:nbn:hr:126:523059
Sluganović, Helena
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

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Sluganović, H. (2024). Blok-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:126:523059

Sluganović, Helena. "Blok-matrice." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:523059

Sluganović, Helena. "Blok-matrice." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:523059

Sluganović, H. (2024). 'Blok-matrice', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 11 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:523059

Sluganović H. Blok-matrice [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2024 November 11] Available at: https://urn.nsk.hr/urn:nbn:hr:126:523059

H. Sluganović, "Blok-matrice", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:126:523059

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Metadata
TitleBlok-matrice
Title (english)Partitioned Matrices
AuthorHelena Sluganović
MentorDragana Jankov Maširević (mentor)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2024-09-19, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom završnom radu proučavali smo pojam podmatrica, definirali blok-matrice i naveli nekoliko primjera blok-matrica. Također smo proučili množenje blokmatrica skalarom, transponiranje, zbrajanje i množenje blok-matrica uz odgovarajuće primjere. Definirali smo rang, inverz i determinantu blok-matrice te zatim i blok-dijagonalnu i blok-trokutastu matricu te smo naveli neka svojstva i objasnili način kako pronaći svojstveni i minimalni polinom blok-matrice. Na kraju smo naveli primjere riješenih zadataka s matematičkih natjecanja.
Abstract (english)
In this final paper we have studied the concept of submatrices, defined partitioned matrices (block matrices) and gave some examples of partitioned matrices. Also, we have studied multiplication of partitioned matrices by a scalar, transposes, sums and products of partitioned matrices with appropriate examples. We have defined rank, inverse and determinant of partitioned matrix and then we’ve defined partitioned-diagonal matrix and partitioned-triangular matrix and some of their properties and explained how to find characteristic and minimal polynomial. At the end, we listed some examples of solved tasks from math competitions.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:523059
Study programmeTitle: University Bachelor of Mathematics (univ. bacc. math.)
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 on2024-09-24 07:53:30