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linear independence

property of a set of vectors of a vector space
Intangible mathematical_concept Q27670
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linear independence

Summary

linear independence is a mathematical concept[1]. It ranks in the top 9% of mathematical_concept entities by monthly Wikipedia readership (255 views/month).[2]

Key Facts

  • linear independence's instance of is recorded as mathematical concept[3].
  • linear independence is part of linear algebra[4].
  • linear independence is the opposite of linear dependence[5].
  • linear independence's facet of is recorded as linear algebra[6].
  • linear independence's maintained by WikiProject is recorded as WikiProject Mathematics[7].

Body

Definition and Type

linear independence's instance of is recorded as mathematical concept[3]. It is the opposite of linear dependence[5].

Use and Application

linear independence is part of linear algebra[4].

Why It Matters

linear independence ranks in the top 9% of mathematical_concept entities by monthly Wikipedia readership (255 views/month).[2] It has Wikipedia articles in 24 language editions, a strong signal of global cultural recognition.[8] It is known by 50 alternative names across languages and contexts.[9]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [8] ↑ . Wikidata sitelinks. wikidata.org.
  3. [9] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). linear independence. Retrieved May 3, 2026, from https://4ort.xyz/entity/linear-independence
MLA “linear independence.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/linear-independence.
BibTeX @misc{4ortxyz_linear-independence_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{linear independence}}, year = {2026}, url = {https://4ort.xyz/entity/linear-independence}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): linear independence — https://4ort.xyz/entity/linear-independence (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 12d ago · MarisDreshmanisBot bot · 2026-05-09 view diff on Wikidata ↗
    Facet of → linear algebra
    Part of → linear algebra
    Opposite of → linear dependence
    Aliases → —
    + 4 other properties edited (see Wikidata diff for full list)
    "/* wbeditentity-update-languages-short:0||simple, cs, sk, tg, uk, hu, tr, ja, ru, zh, gl, lv, is, bs, eu, bg, az, ko, ca, eo, no, vi, sl, ar, kk */ Add 25 multilingual descriptions extracted from Wiki"
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