# Supplement

Two subspaces and of a vector space are supplementary subspaces, or supplement of each other, if they are independent and generate :
.
Sometimes it is said that is direct sum of and .

## Syntax

## Description

#### supplement(Matrix)

Given a matrix with the vector of the basis of as columns, returns a matrix with a basis of the subspace . The first columns correspond to the columns of the given matrix, and the other ones correspond to the supplement.