identity matrix

square matrix with ones on the main diagonal and zeros elsewhere
Thing general Q193794
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identity matrix

Summary

identity matrix ranks in the top 2% of general entities by monthly Wikipedia readership (364 views/month).[1]

Key Facts

  • identity matrix's subclass of is recorded as permutation matrix[2].
  • identity matrix's subclass of is recorded as idempotent matrix[3].
  • identity matrix's subclass of is recorded as signature matrix[4].
  • identity matrix's subclass of is recorded as orthostochastic matrix[5].
  • identity matrix's subclass of is recorded as alternating sign matrix[6].
  • identity matrix's subclass of is recorded as unistochastic matrix[7].
  • identity matrix's subclass of is recorded as scalar matrix[8].
  • identity matrix's subclass of is recorded as identity element[9].
  • identity matrix's Freebase ID is recorded as /m/0g816[10].
  • identity matrix's Gran Enciclopèdia Catalana ID is recorded as 0232838[11].
  • identity matrix's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[12].
  • identity matrix's Encyclopædia Britannica Online ID is recorded as topic/identity-matrix[13].
  • identity matrix's different from is recorded as unitary matrix[14].
  • identity matrix's different from is recorded as matrix of ones[15].
  • identity matrix's defining formula is recorded as \left( \boldsymbol{I} \right){i k} = \delta{i k}[16].
  • identity matrix's MathWorld ID is recorded as IdentityMatrix[17].
  • identity matrix's nLab ID is recorded as identity matrix[18].
  • identity matrix's Elhuyar ZTH ID is recorded as 133679[19].
  • identity matrix's Interlingual Index ID is recorded as i80589[20].
  • identity matrix's maintained by WikiProject is recorded as WikiProject Mathematics[21].
  • identity matrix's Microsoft Academic ID is recorded as 134567657[22].
  • identity matrix's in defining formula is recorded as \boldsymbol{I}[23].
  • identity matrix's in defining formula is recorded as \delta_{i k}[24].
  • identity matrix's WordNet 3.1 Synset ID is recorded as 08286178-n[25].
  • identity matrix's IEV number is recorded as 102-06-13[26].

Why It Matters

identity matrix ranks in the top 2% of general entities by monthly Wikipedia readership (364 views/month).[1] It has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[27] It is known by 23 alternative names across languages and contexts.[28]

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . Freebase Data Dumps. wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . ISO 80000-2:2019 Quantities and units — Part 2: Mathematics. wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . wikidata.org.
  21. [22] . wikidata.org.
  22. [23] . wikidata.org.
  23. [24] . wikidata.org.
  24. [25] . wikidata.org.
  25. [26] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . Wikidata sitelinks. wikidata.org.
  3. [28] . 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). identity matrix. Retrieved April 10, 2026, from https://4ort.xyz/entity/identity-matrix
MLA “identity matrix.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/identity-matrix.
BibTeX @misc{4ortxyz_identity-matrix_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{identity matrix}}, year = {2026}, url = {https://4ort.xyz/entity/identity-matrix}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): identity matrix — https://4ort.xyz/entity/identity-matrix (retrieved 2026-04-10)

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