vector space

Noun

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Noun

**vector space** (*plural* vector spaces)

- (
*algebra, geometry, mathematics, topology*) A set of elements called vectors, together with some field and operations called addition (mapping two vectors to a vector) and scalar multiplication (mapping a vector and an element in the field to a vector), satisfying a list of constraints.*A***vector space**is a set of vectors which can be linearly combined.*Each***vector space**has a basis and dimension.

- linear space

- French: espace vectoriel
- German: Vektorraum
- Italian: spazio vettoriale
- Portuguese: espaço vetorial
- Russian: ве́кторное простра́нство
- Spanish: espacio vectorial

This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.005