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QRDecompositionGetDeterminant Method Extreme Optimization Numerical Libraries for .NET Professional
Calculates the determinant of the decomposed matrix.

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 6.0.16073.0 (6.0.16312.0)
Syntax

C#
VB
C++
F#
Copy
public override double GetDeterminant()
Public Overrides Function GetDeterminant As Double
public:
virtual double GetDeterminant() override
abstract GetDeterminant : unit -> float 
override GetDeterminant : unit -> float 

Return Value

Type: Double
The determinant of the matrix.
Exceptions

ExceptionCondition
DimensionMismatchExceptionThe matrix is not square.
Remarks

A system of simultaneous linear equations has a unique solution if its determinant is not equal to zero.

Determinants are only defined for square matrices. If the matrix is not square, an exception of type DimensionMismatchException is thrown.

For a QR factorized matrix A = QR, the magnitude of the determinant is the product of the diagonal elements of R. Since Q is orthogonal, its determinant is 1 or -1.

Version Information

Numerical Libraries

Supported in: 5.x, 4.x
See Also

Reference

QRDecomposition Class
Extreme.Mathematics.LinearAlgebra Namespace
Extreme.Mathematics.LinearAlgebraLinearOperator

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