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undergraduate thesis
Simetrične, persimetrične i bisimetrične matrice
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. urn:nbn:hr:126:343066
Crnobrnja, Martina
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics and Computer Science
Applied Mathematics and Optimization Research Group

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Crnobrnja, M. (2017). Simetrične, persimetrične i bisimetrične matrice (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:343066

Crnobrnja, Martina. "Simetrične, persimetrične i bisimetrične matrice." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:343066

Crnobrnja, Martina. "Simetrične, persimetrične i bisimetrične matrice." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:343066

Crnobrnja, M. (2017). 'Simetrične, persimetrične i bisimetrične matrice', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 15 February 2025, https://urn.nsk.hr/urn:nbn:hr:126:343066

Crnobrnja M. Simetrične, persimetrične i bisimetrične matrice [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2025 February 15] Available at: https://urn.nsk.hr/urn:nbn:hr:126:343066

M. Crnobrnja, "Simetrične, persimetrične i bisimetrične matrice", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:343066

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Metadata
TitleSimetrične, persimetrične i bisimetrične matrice
Title (english)Symetric, persymetric and bisymetric matrices
AuthorMartina Crnobrnja
MentorDarija Marković (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics and Computer Science)
(Applied Mathematics and Optimization Research Group)
Osijek
Defense date and country2017-09-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
U ovom radu proučit ćemo pojam transponiranja matrica i njegova svojstva, definirati simetričnu matricu i navesti nekoliko primjera simetričnih matrica. Zatim ćemo definirati flip transponiranje matrice, neka svojstva flip-transponiranja, persimetričnu matricu i njene primjere. Definirat ćemo pojam grupe i podgrupe, opisati neke matrične grupe, poput opće linearne grupe i neke matrične podgrupe opće linearne grupe, kao što su ortogonalna grupa i flip transponirana grupa. U ovom radu matricu koja je simetrična i persimetrična zvat ćemo bisimetrična matrica. Matrice koje su simetrične na više načina česta su pojava u prirodnim i tehničkim znanostima. Navest ćemo i dokazati nekoliko svojstava takvih matrica. Pogledat ćemo svojstvene vektore i svojstvene vrijednosti bisimetričnih matrica i matrica s dvije simetrije.
Abstract (english)
In this paper we will study transposition of a matrix and some of its properties, we will define symmetric matrix and give some exapmles of symmetic matrices. Then we will define flip tranposition, some of its properties, persymmetric matrix and examples of persymmetric matrices. The definition of a group and a subgroup will be given, along with some matrix groups, like general linear group, and some matrix subgroups, like orthogonal and flip transpose group. In this paper we refer to matrices which are both symmetric and persymmetric as bisymmetric. Matrices with two symmetries are common in natural sciences and engineering. We will formulate and prove some properties of such matrices. We will examine the eigenvectors and eigenvalues of bisymmetric matrices and matrices with two symmetries
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:343066
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
RepositoryRepository of School of Applied Mathematics and Informatics
Created on2017-11-02 10:23:52