Some special types of matrices

V prvem delu diplomskega dela z naslovom Nekatere posebne vrste matrik so obravnavani osnovni pojmi matrik: osnovne lastnosti matrik, osnovne operacije z matrikami in računanje determinante matrik. Opisana je tudi enakost matrik, transponiranje in potenciranje matrik ter inverzna matrika. V drugem delu so zajete posebne vrste matrik: diagonalne matrike, trikotne matrike, simetrične matrike, simetrične Toeplitzove matrike in permutacijske matrike. Pri teh matrikah so navedene njihove posebne lastnosti. Posebej so dokazani osnovni izreki, ki vključujejo te matrike.In the first part of the diploma, titled A few special types of matrices we discuss the basic concepts of matrices: basic qualities, basic operations with matrices and calculating matrix determinants. We also describe the matrix equality, transposition, inverse matrix. In the second part we discuss special types of matrices: diagonal matrices, triangular matrices, symmetrical matrices, symmetrical Toeplitz matrices and permutation matrices. We specify their special qualities. We focus on proves of basic theorems that involve these matrices