20.500.12556/DKUM-59454 Rang, ekvivalenca in obrnljivost matrik Rank, equivalence and invertibility of matrices V diplomskem delu definiramo osnovne računske operacije z matrikami, obrnljivost matrik in prikažemo kako se izračuna inverzna matrika. Obravnavamo tudi Gaussovo eliminacijo in sisteme linearnih enačb ter ekvivalenco matrik. Dokažemo multiplikativnost determinante s pomočjo elementarnih matrik. V zadnjem poglavju pa predstavimo Shermann-Morrisonov obrazec, s katerim lahko izračunamo inverzne vrednosti določenih vsot. In the thesis we define basic algebraic operations on matrices, invertibility and show how the inverse of matrix is caculated. We consider Gaussian elimination, systems of linear equations and equivalence of matrices. We prove multiplicativity of determinant using elementary matrices. Finally we present Shermann-Morrison formula which is applied for computing certain sums of matrices. matrika obrnljiva matrika elementarne matrike Gaussova eliminacija rang determinanta Shermann-Morisonnov obrazec matrix matrix inversion elementary matrices Gauss elimination rank determinant Shermann-Morisonn formula true true false [J. Malič] Slovenski jezik Angleški jezik Diplomsko delo 2016-05-17 21:27:37 2016-09-27 15:23:18 2022-06-20 03:06:59 2019-07-11 11:14:19 2016 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 512.6(043.2) 22583304 URN:SI:UM:DK:BVO22BJI UN_Malic_Jasmina_2016.pdf UN_Malic_Jasmina_2016.pdf 1 FAF8E6E662F832E491E4A10058DB51AE 9243995acf6a06e3da12b0b6a52e40bbb98d2534df0a6621335a016f5f5d8ad1 79cf6dd1-7c0c-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=91862 Fakulteta za naravoslovje in matematiko 0 0 0