Review Note

Last Update: 11/03/2024 09:31 PM

Current Deck: Mathematik::Lineare Algebra

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Front
Definition: Seien \(V \) und \(W\) Vektorräume über \(\mathbb{K}\). Eine Abbildung \(f: V\rightarrow W\) ist linear oder ein Homomorphismus wenn was gilt?
Back
\(f: V\rightarrow W\) ist linear wenn:
\[f(x+y)=f(x)+f(y) \,\,\,\,\text{und}\,\,\,f(\lambda x)=\lambda f(x) \,\,\,\,\forall\,x,y \in V, \lambda\in \mathbb{K}\]

Tags:

4.1::Lineare::Abbildungen

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