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Extreme Optimization Mathematics Library for .NET

CholeskyDecomposition.GetDeterminant Method 

Calculates the determinant of the factorized GeneralMatrix.

[Visual Basic]
Overrides Public Function GetDeterminant() As Double
[C#]
public override double GetDeterminant();

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.

For a Cholesky factorized matrix A = GTG, the determinant is the square of the product of the diagonal elements of G.

See Also

CholeskyDecomposition Class | Extreme.Mathematics.LinearAlgebra Namespace | LinearTransformation