return a basis for the row space of a Matrix - Maple Help

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Student[LinearAlgebra][RowSpace] - return a basis for the row space of a Matrix

Student[LinearAlgebra][ColumnSpace] - return a basis for the column space of a Matrix

Calling Sequence

RowSpace(A, options)

ColumnSpace(A, options)

Parameters

A

-

Matrix

options

-

(optional) parameters; for a complete list, see LinearAlgebra[RowSpace]

Description

• 

The RowSpace(A) (ColumnSpace(A)) command returns a list of row (column) Vectors that form a basis for the Vector space spanned by the rows (columns) of Matrix A.  The Vectors are returned in canonical form with leading entries 1.

• 

The row space (column space) of a zero Matrix is the empty list.

Examples

withStudent[LinearAlgebra]:

A:=1,2,0|0,2,6|0,1,3|1,1,3

A:=100122110633

(1)

RowSpaceA

1001,011212

(2)

ColumnSpaceA

106,013

(3)

See Also

LinearAlgebra[RowSpace], Student[LinearAlgebra], Student[LinearAlgebra][Basis], Student[LinearAlgebra][LUDecomposition]


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