Basis und Dimension 05: Eindeutigkeit der Koordinaten in Basisdarstellung 🔍

Entdecken Sie, warum die Koordinaten in einer Basis eindeutig sind und wie sie die Dimensionen eines Vektorraums bestimmen. Perfekt für das Verständnis linearer Gleichungssysteme und Vektorraum-Theorie!

Prof. Dr. Michael Helbig•527 views•4:23

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🔴 Dieses Video ist Teil der Playlist: https://www.youtube.com/playlist?list=PLDkKPlx5HxBchSRA0NsGogih9TI-oj0sn THEMEN: 1. Lineare Gleichungssysteme 2. Matrizen 3. Determinante 4. Vektorräume 5. Basis und Dimension 6. Rang von Matrizen 7. Lineare Abbildungen 8. Darstellende Matrizen 9. Eigenwerte 10. Diagonalisierung 11. Euklidische Vektorräume 12. Hauptachsentransformation 🔴 mehr Videos, Skripte und Aufgaben unter https://www.bigdev.de/teaching _____________________________________________________ INHALT: 00:00 Aufgabenstellung zur Eindeutigkeit 01:18 Beweis #Mathematik #LineareAlgebra

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#Mathematik #Informatik #Lineare Algebra #Basis #Dimension #Koordinaten #Vektoren #Koeffizienten

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527

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Duration
4:23

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Published
Nov 19, 2021

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Prof. Dr. Michael Helbig

Prof. Dr. Michael Helbig

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