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                        Supplement

                        Reading time: 1min

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

                        Syntax

                        supplement(Matrix)
                        

                        Description

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

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