compute the rank of a Matrix - Maple Help

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Student[LinearAlgebra][Rank] - compute the rank of a Matrix

Calling Sequence

Rank(A)

Parameters

A

-

Matrix

Description

• 

If A does not have a floating-point data type, then the Rank(A) command computes the rank  of A by performing Gaussian elimination on the rows of A.

  

The rank of Matrix A is the number of nonzero rows in the resulting Matrix.

• 

If Matrix A has a floating-point data type, a singular value decomposition and analysis is performed.

Examples

withStudent[LinearAlgebra]:

A:=7,1,2|2,1,1|3,0,1|2,7,3

A:=723211072113

(1)

RankA

2

(2)

numelemsRowSpaceA

2

(3)

See Also

LinearAlgebra[Rank], LinearAlgebra[SingularValues], Student[LinearAlgebra], Student[LinearAlgebra][LUDecomposition], Student[LinearAlgebra][QRDecomposition]


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