Calculates the determinant of the decomposed
matrix.
Namespace:
Extreme.Mathematics.LinearAlgebra
Assembly:
Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.1
public override T GetDeterminant()
Public Overrides Function GetDeterminant As T
public:
virtual T GetDeterminant() override
abstract GetDeterminant : unit -> 'T
override GetDeterminant : unit -> 'T
Return Value
Type:
TThe 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.
Reference