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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 EE: VW=,V+W=E. Sometimes it is said that EE is direct sum of VV and WW.

Syntax

supplement(Matrix)

Description

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

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