◀ ▲ ▶Branches / Algebra / Theorem: Finite Basis Theorem
Theorem: Finite Basis Theorem
If \(V\) is a vector space over a field \(F\) with a finite dimension \(dim(V) < \infty\), then:
 \(V\) has a finite basis.
 Two different bases of \(V\) have the same number of elements, and this number equals \(n=dim(V)\).
 Two different bases of \(V\) have the same number of elements, and this number equals \(n=dim(V)\).
Table of Contents
Proofs: 1
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References
Bibliography
 Koecher Max: "Lineare Algebra und analytische Geometrie", SpringerVerlag Berlin Heidelberg New York, 1992, 3rd Volume