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linalg(deprecated)

  

basis

  

find a basis for a vector space

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

basis(V, crspace)

Parameters

V

-

vector, set of vectors or list of vectors, a matrix

crspace

-

(optional) name, either 'rowspace' or 'colspace'

Description

• 

Important: The linalg package has been deprecated. Use the superseding command LinearAlgebra[Basis], 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.

Examples

Important: The linalg package has been deprecated. Use the superseding command LinearAlgebra[Basis], instead.

(1)

(2)

(3)

(4)

(5)

See Also

LinearAlgebra

 


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