English

Noun

determinant (plural determinants)

1. (mathematics) A scalar derived from a square matrix A, having various uses in mathematics and defined recursively as:

Failed to parse (PNG conversion failed; check for correct installation of latex, dvips, gs, and convert): det\,A = \sum_{i=1}^n\;(-1)^{i+1}\;a_{1, i}\;det\,A^\prime_i

for A of dimensions n × n; n > 1, and

Failed to parse (PNG conversion failed; check for correct installation of latex, dvips, gs, and convert): det\,A = a_{1, 1}

for A of dimensions 1 × 1

where Failed to parse (PNG conversion failed; check for correct installation of latex, dvips, gs, and convert): A^\prime_i

is the matrix obtained by removing the first row and the ith column from Failed to parse (PNG conversion failed; check for correct installation of latex, dvips, gs, and convert): A^\prime

.

Translations

in mathematical sense

See also

• Wikipedia article on determinants
• Mathworld article on determinants

Slovak

Noun

determinant m, determinanty pl

determinant stem

determinantu '

1. determining factor
2. (math) determinant

Swedish

Noun

determinant c (pl determinanter def sing determinanten def pl determinanterna )

1. (math) determinant