Definition: Basis, Coordinate System

A subset \(B\) of a vector space \(V\neq \{0\}\) is called a basis (or a coordinate system) if

  1. Lemma: Uniqueness Lemma of a Finite Basis
  2. Theorem: Finite Basis Theorem

Definitions: 1 2 3 4 5
Explanations: 6
Lemmas: 7 8
Parts: 9 10
Proofs: 11 12 13 14
Theorems: 15


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References

Bibliography

  1. Koecher Max: "Lineare Algebra und analytische Geometrie", Springer-Verlag Berlin Heidelberg New York, 1992, 3rd Volume
  2. Wille, D; Holz, M: "Repetitorium der Linearen Algebra", Binomi Verlag, 1994