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Cayley–Hamilton theorem

theorem that a square matrix satisfies its own characteristic equation
Intangible theorem Q656772
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Cayley–Hamilton theorem

Summary

Cayley–Hamilton theorem is a theorem[1]. It ranks in the top 10% of theorem entities by monthly Wikipedia readership (164 views/month).[2]

Key Facts

  • Cayley–Hamilton theorem's instance of is recorded as theorem[3].
  • Arthur Cayley is named after Cayley–Hamilton theorem[4].
  • William Rowan Hamilton is named after Cayley–Hamilton theorem[5].
  • Cayley–Hamilton theorem's part of is recorded as list of theorems[6].
  • Cayley–Hamilton theorem's Freebase ID is recorded as /m/017dqb[7].
  • Cayley–Hamilton theorem's defining formula is recorded as p_A(A)=0[8].
  • Cayley–Hamilton theorem's MathWorld ID is recorded as Cayley-HamiltonTheorem[9].
  • Cayley–Hamilton theorem's Quora topic ID is recorded as Cayley-Hamilton-Theorem[10].
  • Cayley–Hamilton theorem's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • Cayley–Hamilton theorem's Microsoft Academic ID is recorded as 2779061652[12].
  • Cayley–Hamilton theorem's Brilliant Wiki ID is recorded as cayley-hamilton-theorem[13].
  • Cayley–Hamilton theorem's ProofWiki ID is recorded as Cayley-Hamilton_Theorem[14].
  • Cayley–Hamilton theorem's in defining formula is recorded as p_A[15].
  • Cayley–Hamilton theorem's in defining formula is recorded as A[16].
  • Cayley–Hamilton theorem's Encyclopedia of Mathematics article ID is recorded as Cayley-Hamilton_theorem[17].
  • Cayley–Hamilton theorem's PlanetMath ID is recorded as CayleyHamiltonTheorem[18].
  • Cayley–Hamilton theorem's ScienceDirect topic ID is recorded as mathematics/cayley-hamilton-theorem[19].
  • Cayley–Hamilton theorem's Metamath statement ID is recorded as cayleyhamilton[20].
  • Cayley–Hamilton theorem's GitLab topic ID is recorded as cayley-hamilton[21].

Why It Matters

Cayley–Hamilton theorem ranks in the top 10% of theorem entities by monthly Wikipedia readership (164 views/month).[2] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[22] It is known by 23 alternative names across languages and contexts.[23]

Related Entities

Arthur Cayley William Rowan Hamilton

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] ↑ . Freebase Data Dumps. wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . Quora. wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.
  16. [18] ↑ . wikidata.org.
  17. [19] ↑ . wikidata.org.
  18. [20] ↑ . wikidata.org.
  19. [21] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [22] ↑ . Wikidata sitelinks. wikidata.org.
  3. [23] ↑ . 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). Cayley–Hamilton theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/cayley-hamilton-theorem
MLA “Cayley–Hamilton theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/cayley-hamilton-theorem.
BibTeX @misc{4ortxyz_cayley-hamilton-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Cayley–Hamilton theorem}}, year = {2026}, url = {https://4ort.xyz/entity/cayley-hamilton-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Cayley–Hamilton theorem — https://4ort.xyz/entity/cayley-hamilton-theorem (retrieved 2026-05-03)

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