rank

measure of the "nondegenerateness" of the system of linear equations and linear transformation encoded by a matrix
Thing invariant Q656784
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rank

Summary

rank is an invariant[1]. rank ranks in the top 8% of invariant entities by monthly Wikipedia readership (744 views/month).[2]

Key Facts

  • rank's instance of is recorded as invariant[3].
  • rank's subclass of is recorded as integer-valued function[4].
  • rank's subclass of is recorded as subadditive function[5].
  • rank's Freebase ID is recorded as /m/06m96[6].
  • rank's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[7].
  • rank's codomain is recorded as set of non-negative integers[8].
  • rank's MathWorld ID is recorded as MatrixRank[9].
  • rank's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • rank's Microsoft Academic ID is recorded as 1026927[11].
  • rank's Brilliant Wiki ID is recorded as rank[12].
  • rank's De Agostini ID is recorded as rango[13].
  • rank's Treccani's Enciclopedia della Matematica ID is recorded as rango[14].
  • rank's invariant under is recorded as change of basis[15].
  • rank's invariant under is recorded as matrix transposition[16].

Why It Matters

rank ranks in the top 8% of invariant entities by monthly Wikipedia readership (744 views/month).[2] rank has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[17] rank is known by 37 alternative names across languages and contexts.[18]

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] . Freebase Data Dumps. wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . math.stackexchange.com. Retrieved . math.stackexchange.com. Provenance: wikidata.org.
  14. [16] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. wikidata.org.
  3. [18] . 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). rank. Retrieved May 3, 2026, from https://4ort.xyz/entity/rank
MLA “rank.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/rank.
BibTeX @misc{4ortxyz_rank_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{rank}}, year = {2026}, url = {https://4ort.xyz/entity/rank}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): rank — https://4ort.xyz/entity/rank (retrieved 2026-05-03)

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