vector space
the basic algebraic structure of linear algebra; a module over a field, such that its elements can be added together or scaled by elements of the field
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vector space
Summary
vector space ranks in the top 1% of general entities by monthly Wikipedia readership (3,731 views/month).[1]
Key Facts
- space is named after vector space[2].
- Euclidean vector is named after vector space[3].
- vector space is a type of free module[4].
- vector space's Commons category is recorded as Vector spaces[5].
- vector space comprises set[6].
- vector space comprises vector addition[7].
- vector space comprises scalar multiplication[8].
- vector space's topic's main category is recorded as Category:Vector spaces[9].
- vector space's facet of is recorded as linear algebra[10].
- vector space's Stack Exchange tag is recorded as https://mathoverflow.net/tags/vector-spaces[11].
- vector space's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/vector-spaces[12].
- vector space's has characteristic is recorded as dimension of a vector space[13].
- vector space's different from is recorded as linear space[14].
- vector space's has list is recorded as list of vector spaces in mathematics[15].
- vector space's studied by is recorded as theory of vector spaces[16].
- vector space's studied by is recorded as linear algebra[17].
- vector space's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[18].
- vector space's maintained by WikiProject is recorded as WikiProject Mathematics[19].
Body
Definition and Type
vector space is a type of free module[4].
Origins
Things named after include space[2], a mathematical terminology[20] and Euclidean vector[3], a geometric concept[21].
Use and Application
Components include set[6], a primitive notion[22]; vector addition[7], a binary operation[23]; and scalar multiplication[8], an external binary operation[24].
Why It Matters
vector space ranks in the top 1% of general entities by monthly Wikipedia readership (3,731 views/month).[1] It has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[25] It is known by 51 alternative names across languages and contexts.[26]