Calculates the determinant of the decomposed
matrix.
Namespace: Extreme.Mathematics.LinearAlgebraAssembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 6.0.16073.0 (6.0.16312.0)
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:
DoubleThe determinant of the matrix.
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.
Numerical Libraries
Supported in: 5.x, 4.x
Reference