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 supplement(Matrix) 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. Related functions Subspace intersection, Subspace sum Table of Contents Syntax Description Related functions