Matrisene

Matrisene is the definite plural form of the noun matrise (matrix) in Norwegian and Danish, used to refer to multiple matrices in mathematical writing. The term is common in textbooks, academic articles, and software documentation produced in these languages.

Etymology and grammar: Matrisse derives from the Latin matrix, with the definite plural ending -ene forming matrisene in Norwegian and Danish. In Norwegian, matrisene is used for “the matrices,” and it appears in both Bokmål and Nynorsk contexts. The form contrasts with the singular matrise (the matrix) and the plural indefinite matriser (matrices).

Usage: Matrisene typically function as subjects or objects in statements about linear transformations, systems of linear equations, or matrix operations. For example, Matrisene A og B er invertible means “The matrices A and B are invertible.” In educational and computing materials, matrisene appear in explanations of algorithms for multiplication, inversion, decomposition (such as LU or QR), and in code or pseudocode describing linear-algebra routines.

Examples: Consider the matrices A = [[1, 2], [3, 4]] and B = [[0, 1], [-1, 2]]. Their sum is Matrisene A og B å være A + B = [[1, 3], [2, 6]], and their product is AB = [[-2, 5], [-4, 11]]. These operations illustrate common uses of matrisene in solving systems, transforming vectors, and representing linear mappings.

See also: matrix, matrise, linear algebra, matrix notation.