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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 $E$ : $V \cap W = \emptyset, V + W = E$ . 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.

linear_algebra.supplement.calc.png

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