What does "vector space" mean?

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; equivalently, a module over a field.

What is a synonym for "vector space"?

Common synonyms include: linear space, linear subspace, space of vectors, word space.

Vector space

noun

noun ·Rare ·Advanced level

Definitions

Noun

1
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; equivalently, a module over a field.
"A vector space is a set of vectors which can be linearly combined."

Synonyms

All synonyms

linear space linear subspace space of vectors word space

Antonyms

All antonyms

not a subspace not a vector space

Example

More examples

"A vector space is a set of vectors which can be linearly combined."

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