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determinant
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determinant

Sum of signed terms of n factors from n×n matrix with no two factors sharing row or column

EntityQ178546

Also known as matrix determinant · determinant of matrix · determinant of a square matrix

Subclass of

Overview

All data

62 statements · 8% with external sources · numbers in brackets are citations

Defining formula
  • \det(\boldsymbol{A}) = \sum_{\sigma \in S_n} \left( \sgn(\sigma) \prod_{i=1}^n a_{i,\sigma_i}\right)
Definition domain
Studied by
Notation
In defining formula
Partial function domain
Codomain
Invariant under

On other databases

41 identifiers linking determinant across the web's reference databases