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linalg(deprecated)

  

rowspace

  

compute a basis for the row space

  

colspace

  

compute a basis for the column space

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

rowspace(A)

colspace(A)

rowspace(A, 'dim')

colspace(A, 'dim')

Parameters

A

-

matrix

'dim'

-

(optional) unevaluated name

Description

• 

Important: The linalg package has been deprecated. Use the superseding packages LinearAlgebra[RowSpace] and LinearAlgebra[ColumnSpace], instead.

  

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

• 

The functions rowspace(A) and colspace(A) return a set of vectors that form a basis for the vector space spanned by the rows and columns of the matrix A, respectively.  The vectors are returned in a canonical form with leading entries 1.

• 

The optional second parameter 'dim' is assigned the rank of A, which is the dimension of the row and column space.

  

These functions are part of the linalg package, and so can be used in the form rowspace(..) only after performing the command with(linalg) or with(linalg, rowspace).  They can always be accessed in the long form linalg[rowspace](..).

Examples

Important: The linalg package has been deprecated. Use the superseding packages LinearAlgebra[RowSpace] and LinearAlgebra[ColumnSpace], instead.

withlinalg:

Amatrix3,2,2,0,3,4,0,5

A203405

(1)

rowspaceA

01,10

(2)

colspaceA

0154,10158

(3)

Barray0,0,0,1,0,0,x,0,0,0,0,0,y,y,0,0,x,0,1,0

B000100x00000yy00x010

(4)

rowspaceB,'d'

00010,00100,01000

(5)

Cmatrix3,3,154,3104,11654,3104,32,1664,11654,1664,114

C1543410141653410321466141651466114

(6)

colspaceC

Warning, unable to find a provably non-zero pivot

001,010,100

(7)

See Also

linalg(deprecated)[gaussjord]

linalg(deprecated)[hermite]

linalg(deprecated)[rowspan]

LinearAlgebra