20.500.12556/DKUM-14445 ANTISIMETRIČNE MATRIKE ANTISYMMETRIC MATRICES Diplomsko delo je sestavljeno iz treh poglavij. V prvem poglavju predstavimo osnovne pojme matrik in njihove definicije. Nato podrobneje opišemo računske operacije med njimi in jih ponazorimo z zgledi. Nazadnje predstavimo tudi determinanto matrike in njene lastnosti, lastne vrednosti in Jordanovo kanonično formo matrike. V naslednjem poglavju se posvetimo simetričnim matrikam. Najprej opišemo definicijo simetrične matrike, nato spoznamo njene osnovne lastnosti. Vsako lastnost ponazorimo z zgledom. Na koncu drugega poglavja se usmerimo tudi k definitnosti in semidefinitnosti simetričnih matrik. V uvodu tretjega poglavja predstavimo antisimetrične matrike. Nadaljujemo z osnovnimi izreki, ki jih dokažemo in ponazorimo z zgledi. V tem poglavju vpeljemo tudi ostale izreke in definicije, ki so povezane z antisimetričnimi matrikami. Poglavje zaključimo s primerjavo simetričnih in antisimetričnih matrik, ki smo jih zasledili skozi celotno drugo in tretje poglavje diplomskega dela. The thesis consist of three chapters. In the first chapter the basics of matrices and their definitions are presented. Arithmetic operations between them are described furthermore in greater detail and are illustrated by examples. Finally matrix's determinant and its characteristics, eigenvalues and Jordan canonical form are presented. Next chapter deals with symmetrical matrices. First the definition of symmetrical matrix is described and then its basic characteristics are recognized. Each characteristic is illustrated by an example. The end of the second chapter is directed to definite and semidefinite of the symmetrical matrices. In the introduction of the third chapter antisymmetrical matrices are presented. Basic theorems are preceded, which are proved and illustrated by examples. This chapter also introduces other theorems and definitions that are connected with antisymmetrical matrices. The chapter ends with comparisons of symmetrical and antisymmetrical matrices that were presented throughout the entire second and third chapter of the thesis. Simetrične matrike antisimetrične matrike definitnost semidefinitnost. Symmetrical matrices antisymmetrical matrices definite semidefinite. true true false [G. Ambrož] Slovenski jezik Angleški jezik Diplomsko delo 2010-06-14 11:03:07 2010-07-09 13:38:19 2022-04-12 22:02:09 2023-12-17 03:36:15 2010 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51(043.2) 17753608 URN:SI:UM:DK:3IXBQLHM UNI_Ambroz_Gregor_2010.pdf UNI_Ambroz_Gregor_2010.pdf 1 3F04C2BBEF445F3E28E4A4BACF4F8AC3 8d7eda2f92d627fd4f1d26c7651cbbc904792f17ed798790677599644b14dcd3 2823334e-7c04-11eb-bb7a-00155d0001ca 20.500.12556/dkum/281a3c41-1b4f-43bc-b03e-c293b5a82a09 https://dk.um.si/Dokument.php?lang=slv&id=15372 Fakulteta za naravoslovje in matematiko 0 0 0