vector space
vector space noun: 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.
Noun
vector space (plural vector spaces)
- 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.
- Each vector space has a basis and dimension.
- Synonyms:
- linear space
vector space meaning in Tamil, Malayalam, Tagalog and Malay
vector space in Tamil
- mathematics
- திசையன் வெளி ticaiyaṉ veḷi
vector space in Malayalam
- mathematics
- സദിശസമഷ്ടി sadiśasamaṣṭi
vector space in Tagalog
- mathematics
- espasyong bektor
vector space in Malay
- mathematics
- ruang vektor
More languagesFewer languages
- vector space in Indonesian
- ruang vektor
- vector space in Persian
- فضای برداری
- vector space in Thai
- ปริภูมิเวกเตอร์, ปริภูมิเชิงเส้น
- vector space in Vietnamese
- không gian vectơ
Synonyms of vector space
Forms of vector space
| plural | vector spaces |
|---|
Questions about vector space
- What does vector space mean?
- Vector space means 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 vector space in Tamil?
- Vector space in Tamil is திசையன் வெளி (ticaiyaṉ veḷi). See Vector space meaning in Tamil.
- What part of speech is vector space?
- Vector space is a noun.
- What is the plural of vector space?
- The plural of vector space is vector spaces.
Words near vector space in the dictionary
Source and license
Adapted from Wiktionary: vector space (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Pronunciation audio from Wikimedia Commons, each file under its own free license: LL-Q1860 (eng)-Flame, not lame-vector space.wav.
Cite this entry: “vector space.” Word.ws, https://word.ws/vector_space. Based on Wiktionary, CC BY-SA 4.0.