In linear algebra, reduction is the process of applying rules to a series of equations or matrices to change them into a "simpler" format. These rules involve manipulating either the rows or the columns of a matrix, and so this is usually referred to as row-reduction or column-reduction. Often the aim of reduction is to transform a matrix into its "row-reduced echelon form" or "row-echelon form"; this is the process of Gaussian elimination.

In calculus, reduction refers to the technique of integration by parts to evaluate a whole class of integrals by reducing them to simpler forms. Due to its uses, it mainly involves the evaluation of definite integrals.

linear algebra

Réduction d'endomorphisme