33.8 Functions for Row Spaces

The following functions are overlaid in the operations record of row spaces.

The set theoretic functions

Closure, Elements, Intersection, Random, Size.

Intersection( V, W ) :

returns the intersection of the two row spaces V and W that is computed using the Zassenhaus algorithm.

The vector space specific functions

Base( V ) :

returns the list of vectors of the canonical basis of the row space V (see CanonicalBasis).

Cosets( V, U ) :

returns the list of cosets of the subspace U in V, as does Elements( V / U ).

Dimension( V ) :

returns the dimension of the row space. For this, a basis of the space is computed if not yet known.

Zero( V ) :

More about Row Spaces).

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