TriangularMatrix..::..IsSingular Method

TriangularMatrix Class See Also

Gets a value indicating whether the TriangularMatrix is singular.

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 bool IsSingular()

Visual Basic (Declaration)
Public Overrides Function IsSingular As Boolean

Visual C++
public: virtual bool IsSingular() override

F#
abstract IsSingular : unit -> bool override IsSingular : unit -> bool

Return Value

true True true true (True in Visual Basic) if the matrix is singular; otherwise falseFalsefalsefalse (False in Visual Basic).

Remarks

A matrix is singular when its rows or columns are not linearly independent. For a triangular matrix, this occurs when one of the elements on the diagonal is zero.

A singular matrix does not have an inverse, and a system of simultaneous linear equation corresponding to the matrix does not have a unique solution.