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Podcasts

Jolanta Borowska

Author: Jolanta Borowska

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1

Ebook

Algebra liniowa i geometria

Zbigniew Domański, Jolanta Borowska

Skrypt pt. Algebra liniowa i geometria autorstwa Zbigniewa Domańskiego i Jolanty Borowskiej przeznaczony jest dla studentów kierunku informatyka. Omawia podstawowe twierdzenia, podaje definicje, a każde zagadnienie jest rozwijane poprzez przedstawienie przykładów dotyczących omawianych zagadnień. W skrypcie omówiono podstawowe struktury algebraiczne - grupy, pierścienie i ciała. Przedstawiono także macierze liczbowe, działania na macierzach, wyznaczniki macierzy i równania macierzowe. Zaprezentowano zagadnienia związane ze zbiorami: iloczyn kartezjański zbiorów, zbiory liczb. W przypadku układów równań liniowych zaprezentowano twierdzenie Kroneckera-Capellego oraz metodę eliminacji Gaussa. Omówiono zagadnienia związane z równaniami płaszczyzny i prostej. Skrypt kończy analiza zagadnień związanych z wzajemnym położeniem punktów, prostych i płaszczyzn.