Calculates the determinant of the decomposed
Matrix.
Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics (Extreme.Numerics)
Syntax
| Visual Basic (Declaration) |
|---|
Public Overrides Function GetDeterminant As Double |
| C# |
|---|
public override double GetDeterminant () |
| C++ |
|---|
public: virtual double GetDeterminant () override |
Return Value
The determinant of the matrix.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 singular value decomposition A = USVT, the magnitude of the determinant is the product of the diagonal elements of S. Since U and V are orthogonal, their determinant is 1 or -1. This means that only the magnitude of the determinant is known, not its sign.
Exceptions
| Exception | Condition |
|---|---|
| DimensionMismatchException | The matrix is not square. |
See Also
