LUDecomposition..::..GetDeterminant Method

LUDecomposition Class See Also

Calculates the determinant of the decomposed matrix.

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 4.2.11333.0 (4.2.12253.0)

Syntax

C#
public override double GetDeterminant()

Visual Basic (Declaration)
Public Overrides Function GetDeterminant As Double

Visual C++
public: virtual double GetDeterminant() override

F#
abstract GetDeterminant : unit -> float override GetDeterminant : unit -> float

Return Value

The determinant of the matrix.

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 LU factorized matrix PA = LU, the determinant is the product of the diagonal elements of U. Since L is defined to be unit triangular, so the product of its diagonal elements equals 1.

Exceptions

Exception	Condition
Extreme.Mathematics..::..DimensionMismatchException	The matrix is not square.