trace

sum of the elements of the main diagonal of a square matrix
Thing general Q321102
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trace

Summary

trace ranks in the top 2% of general entities by monthly Wikipedia readership (1,155 views/month).[1]

Key Facts

  • trace's GND ID is recorded as 4202272-1[2].
  • trace's subclass of is recorded as similarity invariance[3].
  • trace's Freebase ID is recorded as /m/0bvwf[4].
  • trace's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[5].
  • trace's partial function domain is recorded as square matrix[6].
  • trace's defining formula is recorded as \operatorname{tr} \boldsymbol{A} = \sum_i (\boldsymbol{A})_{i i}[7].
  • trace's MathWorld ID is recorded as MatrixTrace[8].
  • trace's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • trace's Microsoft Academic ID is recorded as 25830464[10].
  • trace's ProofWiki ID is recorded as Definition:Trace_(Linear_Algebra)[11].
  • trace's in defining formula is recorded as \operatorname{tr} \boldsymbol{A}[12].
  • trace's in defining formula is recorded as \boldsymbol{A}[13].
  • trace's Encyclopedia of Mathematics article ID is recorded as Trace_of_a_square_matrix[14].
  • trace's IEV number is recorded as 102-06-21[15].
  • trace's ScienceDirect topic ID is recorded as mathematics/trace-of-a-matrix[16].
  • trace's Digital Library of Mathematical Functions ID is recorded as 1.2.E62[17].
  • trace's invariant under is recorded as change of basis[18].
  • trace's Vikidia article ID is recorded as fr:Trace_(mathématiques)[19].

Why It Matters

trace ranks in the top 2% of general entities by monthly Wikipedia readership (1,155 views/month).[1] trace has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[20] trace is known by 38 alternative names across languages and contexts.[21]

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

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . Wikidata sitelinks. wikidata.org.
  3. [21] . 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). trace. Retrieved April 10, 2026, from https://4ort.xyz/entity/trace-q321102
MLA “trace.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/trace-q321102.
BibTeX @misc{4ortxyz_trace-q321102_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{trace}}, year = {2026}, url = {https://4ort.xyz/entity/trace-q321102}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): trace — https://4ort.xyz/entity/trace-q321102 (retrieved 2026-04-10)

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