vector space

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English[edit]

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Noun[edit]

vector space (plural vector spaces)

  1. (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.

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