matriiseissa

Matriiseissa is the inessive plural form of matriisi, the Finnish word for a matrix. It means “in the matrices” and is used in mathematical texts to refer to properties, operations, or values that exist inside multiple matrices. The corresponding singular form is matriisissa, meaning “in the matrix.” The term is common in discussions about where an action takes place or where a property applies within matrices.

Grammatical notes: matriiseissa is formed from the base matriisi with the plural nominative matriisit and the inessive plural suffix -issa (or -issä after voicing changes). This form is typical when describing content or behavior inside several matrices, for example when listing where certain features appear or where a computation is performed.

Usage examples: Tutkimuksessa tarkastellaan matriiseissa A ja B esiintyviä ominaisuuksia. Rivit ja sarakkeet in matriiseissa vaikuttavat lineaarisiin transformaatioprosesseihin. Matriiseissa voidaan määritellä käänteismatriiseja ja suorittaa erilaisia kertolaskuja sekä jakamalla tuloksia rivien ja sarakkeiden perusteella.

Context and scope: In linear algebra and matrix theory, matriiseissa helps specify that a statement applies to the matrices themselves rather than to a single matrix or to abstract vectors. It contrasts with other phrasing such as matriisien ominaisuudet (the properties of the matrices) or matriisien operaatioiden tulokset (the results of operations on the matrices).

See also: matriisi, lineaarinen algebra, käänteismatriisi.