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All bases of a vector space have equally many elements

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  • mathematischer Satz (de)
  • all bases of a vector space have equally many elements (en)
  • théorème mathématiques (fr)
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  • 1.500000 (xsd:double)
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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dct:subject
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  • 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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