Laplace expansion

noun

An expression for the determinant |B| of an n × n matrix B that is a weighted sum of the determinants of n submatrices (or minors) of B, each of size (n − 1) × (n − 1).

Similar
cofactor expansion
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Meanings

nounLaplace expansion (plural Laplace expansions)

plural Laplace expansions

  1. mathematicsAn expression for the determinant |B| of an n × n matrix B that is a weighted sum of the determinants of n submatrices (or minors) of B, each of size (n − 1) × (n − 1).

    Synonyms: cofactor expansion

Synonyms & antonyms

nounAn expression for the determinant |B| of an n × n matrix B that is a weighted sum of the determinants of n submatrices (or minors) of B, each of size (n − 1) × (n − 1).

Similar
cofactor expansion
Also see
cofactor expansion

Origin

Named after Pierre-Simon Laplace.

Full word history & related roots →
Cite this entry
APA

Laplace expansion. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Laplace%20expansion

MLA

“Laplace expansion.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Laplace%20expansion. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Laplace expansion,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Laplace%20expansion.

Source: Laplace expansion on Wiktionary, CC BY-SA 4.0.