Important: The linalg package has been deprecated. Use the superseding packages, LinearAlgebra and VectorCalculus, instead.

- For information on migrating linalg code to the new packages, see examples/LinearAlgebraMigration.

If the argument V is a single vector, then this vector is returned as a set {V}.

If V is a set of vectors, then basis will return a basis for the vector space spanned by those vectors in terms of the original vectors.

If V is a matrix, then the routine computes a basis of the column space of V if the second optional argument is 'colspace', and it returns a basis of the row space of V if the second argument is 'rowspace'.

For an ordered basis, use a list of vectors rather than a set.

A basis for the zero-dimensional space is an empty set or list.

The command with(linalg,basis) allows the use of the abbreviated form of this command.