🔬 Discovery

Cramer's rule

Regla de Cramer

Date
1750 · confidence high
Place
Geneva, Switzerland
Credited to
Gabriel Cramer
Field
Knowledge & symbols

⚠️ Disputed: the sources disagree.

What was discovered

Cramer published in his 'Introduction à l'Analyse des lignes Courbes algébriques' an explicit formula for solving linear systems of equations using determinants. Colin Maclaurin had published special cases two years earlier and may have known the result as early as 1729.

Priority is disputed with Colin Maclaurin, who published special cases of the rule in 1748, two years before Cramer.

What it led to

  • Central theoretical tool of linear algebra
  • Study of the properties of linear systems via determinants

Built on

  • Maclaurin's work with determinants (1748)

Links

Sources✓ verified 2026-09-28