Supplement

Two subspaces V and W of a vector space E are supplementary subspaces, or supplement of each other, if they are independent and generate ELaTeXE: VW=,   V+W=E. Sometimes it is said that ELaTeXE is direct sum of VLaTeXV and WLaTeXW.

Syntax

supplement(Matrix)

Description

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

linear_algebra.supplement.calc.png