Jacobi's formula

formula for the derivative of the determinant of a matrix
Intangible formula Q3748375
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Jacobi's formula

Summary

Jacobi's formula is a formula[1]. It ranks in the top 9% of formula entities by monthly Wikipedia readership (220 views/month).[2]

Key Facts

  • Jacobi's formula's instance of is recorded as formula[3].
  • Carl Gustav Jacob Jacobi is named after Jacobi's formula[4].
  • Jacobi's formula's Freebase ID is recorded as /m/075ss5[5].
  • Jacobi's formula's defining formula is recorded as \mathrm d\det A=\operatorname {tr} \left(\operatorname{adj}A\,\mathrm dA\right)[6].
  • Jacobi's formula's Microsoft Academic ID is recorded as 2779677727[7].
  • Jacobi's formula's in defining formula is recorded as \operatorname{adj}[8].
  • Jacobi's formula's in defining formula is recorded as A[9].
  • Jacobi's formula's in defining formula is recorded as \det[10].
  • Jacobi's formula's in defining formula is recorded as \operatorname{tr}[11].
  • Jacobi's formula's in defining formula is recorded as \mathrm d[12].

Why It Matters

Jacobi's formula ranks in the top 9% of formula entities by monthly Wikipedia readership (220 views/month).[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[13]

📑 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). Jacobi's formula. Retrieved May 3, 2026, from https://4ort.xyz/entity/jacobi-s-formula
MLA “Jacobi's formula.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/jacobi-s-formula.
BibTeX @misc{4ortxyz_jacobi-s-formula_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Jacobi's formula}}, year = {2026}, url = {https://4ort.xyz/entity/jacobi-s-formula}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Jacobi's formula — https://4ort.xyz/entity/jacobi-s-formula (retrieved 2026-05-03)

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