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About:
Dimension theorem for vector spaces
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All bases of a vector space have equally many elements
Property
Value
dbo:
description
mathematischer Satz
(de)
all bases of a vector space have equally many elements
(en)
théorème mathématiques
(fr)
dbo:
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dbp:
text
,
(en)
In a vector space , if is a generating set, and is a linearly independent set, then the cardinality of is not larger than the cardinality of .
(en)
Given a vector space , any two bases have the same cardinality.
(en)
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rdfs:
label
Dimension theorem for vector spaces
(en)
Teorema de la dimensió per espais vectorials
(ca)
Théorème de la dimension pour les espaces vectoriels
(fr)
Teorema della dimensione per spazi vettoriali
(it)
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