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Student[LinearAlgebra]

  

HouseholderMatrix

  

construct a Householder Matrix

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

HouseholderMatrix(V, options)

Parameters

V

-

Vector; used for constructing the Householder Matrix

options

-

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

Description

• 

The HouseholderMatrix(V) function constructs a Householder Matrix from the values in the Vector V.

• 

If V is a Vector of dimension n and V+ indicates its transpose, then HouseholderMatrix(V) constructs the Matrix IdsV.V+ (if V is a column Vector) or IdsV+.V (if V is a row Vector), where Id=IdentityMatrixn and  s=2V.V by default.  You can provide a different value for s.  See LinearAlgebra[HouseholderMatrix] for more information.

Examples

withStudentLinearAlgebra:

V3,4,5

V345

(1)

NormV

52

(2)

WV+`.`NormV,1,0,0

W3+5245

(3)

HHouseholderMatrixW

H123+52241+3+52283+5241+3+522103+5241+3+52283+5241+3+52213241+3+5224041+3+522103+5241+3+5224041+3+52215041+3+522

(4)

evala`.`H,V

5200

(5)

Compatibility

• 

The Student[LinearAlgebra][HouseholderMatrix] command was introduced in Maple 2016.

• 

For more information on Maple 2016 changes, see Updates in Maple 2016.

See Also

Matrix

Vector