Leibniz formula for determinants
Fórmula de Leibniz para el cálculo de determinantes
- Date
- 1693 · confidence low
- Place
- Hanover, Germany
- Credited to
- Gottfried Wilhelm Leibniz
- Field
- Knowledge & symbols
What was discovered
A formula expressing the determinant of a square matrix as a sum over all permutations of its elements, signed by the parity of each permutation; proposed by Gottfried Wilhelm Leibniz in a 1693 letter to L'Hôpital.
What it led to
- Early formalization of the concept of a determinant in Europe
- Basis for the later development of linear and matrix algebra
- Influence on the notation and systematic calculation of determinants