Extreme Optimization™: Complexity made simple.

Math and Statistics
Libraries for .NET
  • Home
  • Features
    • Math Library
    • Vector and Matrix Library
    • Statistics Library
    • Performance
    • Usability
  • Documentation
    • Introduction
    • Math Library User's Guide
    • Vector and Matrix Library User's Guide
    • Data Analysis Library User's Guide
    • Statistics Library User's Guide
    • Reference
  • Resources
    • Downloads
    • QuickStart Samples
    • Sample Applications
    • Frequently Asked Questions
    • Technical Support
  • Blog
  • Order
  • Company
    • About us
    • Testimonials
    • Customers
    • Press Releases
    • Careers
    • Partners
    • Contact us
Introduction
Deployment Guide
Configuration
Using Parallelism
Expand Mathematics Library User's GuideMathematics Library User's Guide
Expand Vector and Matrix Library User's GuideVector and Matrix Library User's Guide
Expand Data Analysis Library User's GuideData Analysis Library User's Guide
Expand Statistics Library User's GuideStatistics Library User's Guide
Expand Data Access Library User's GuideData Access Library User's Guide
Expand ReferenceReference
  • Extreme Optimization
    • Features
    • Solutions
    • Documentation
    • QuickStart Samples
    • Sample Applications
    • Downloads
    • Technical Support
    • Download trial
    • How to buy
    • Blog
    • Company
    • Resources
  • Documentation
    • Introduction
    • Deployment Guide
    • Configuration
    • Using Parallelism
    • Mathematics Library User's Guide
    • Vector and Matrix Library User's Guide
    • Data Analysis Library User's Guide
    • Statistics Library User's Guide
    • Data Access Library User's Guide
    • Reference
  • Reference
    • Extreme
    • Extreme.Collections
    • Extreme.Data
    • Extreme.Data.Json
    • Extreme.Data.Matlab
    • Extreme.Data.R
    • Extreme.Data.Stata
    • Extreme.Data.Text
    • Extreme.DataAnalysis
    • Extreme.DataAnalysis.Linq
    • Extreme.Mathematics
    • Extreme.Mathematics.Algorithms
    • Extreme.Mathematics.Calculus
    • Extreme.Mathematics.Calculus.OrdinaryDifferentialEquations
    • Extreme.Mathematics.Curves
    • Extreme.Mathematics.Curves.Nonlinear
    • Extreme.Mathematics.Distributed
    • Extreme.Mathematics.Distributed.Cuda
    • Extreme.Mathematics.EquationSolvers
    • Extreme.Mathematics.FSharp
    • Extreme.Mathematics.Generic
    • Extreme.Mathematics.Generic.LinearAlgebra
    • Extreme.Mathematics.Generic.LinearAlgebra.Implementation
    • Extreme.Mathematics.Generic.LinearAlgebra.Providers
    • Extreme.Mathematics.Generic.SignalProcessing
    • Extreme.Mathematics.Implementation
    • Extreme.Mathematics.LinearAlgebra
    • Extreme.Mathematics.LinearAlgebra.Complex
    • Extreme.Mathematics.LinearAlgebra.Complex.Decompositions
    • Extreme.Mathematics.LinearAlgebra.Implementation
    • Extreme.Mathematics.LinearAlgebra.IO
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers.Preconditioners
    • Extreme.Mathematics.LinearAlgebra.Providers
    • Extreme.Mathematics.LinearAlgebra.Sparse
    • Extreme.Mathematics.Optimization
    • Extreme.Mathematics.Optimization.Genetic
    • Extreme.Mathematics.Optimization.LineSearches
    • Extreme.Mathematics.Random
    • Extreme.Mathematics.SignalProcessing
    • Extreme.Numerics.FSharp
    • Extreme.Statistics
    • Extreme.Statistics.Distributions
    • Extreme.Statistics.IO
    • Extreme.Statistics.Linq
    • Extreme.Statistics.Multivariate
    • Extreme.Statistics.Random
    • Extreme.Statistics.Tests
    • Extreme.Statistics.TimeSeriesAnalysis
  • Extreme.Mathematics
    • AccuracyGoal Structure
    • AlgorithmStatus Enumeration
    • ArrayAttributes Structure
    • ArrayMath Class
    • ArrayMutability Enumeration
    • BigFloat Class
    • BigInteger Structure
    • BigRational Structure
    • CategoricalVector(T) Class
    • Complex(T) Structure
    • ComplexMatrix Class
    • ComplexVector Class
    • Constants Class
    • ConvergenceCriterion Enumeration
    • CoreImplementations Class
    • CoreImplementations(T) Class
    • CoreProvider Class
    • CoreProvider(T) Class
    • DecimalMath Class
    • Dimension Enumeration
    • DimensionMismatchException Class
    • DimensionType Enumeration
    • DistributedDataLocation Enumeration
    • DoubleComparer Class
    • DoubleComplex Structure
    • Elementary Class
    • ElementType(T) Class
    • EquationSolving Class
    • FunctionMath Class
    • GenericCoreProvider(T) Class
    • GenericImplementations Class
    • ICategoricalVector Interface
    • IDistributed Interface
    • InsufficientDataException Class
    • IntegerMath Class
    • Intent Enumeration
    • Interval Structure
    • Interval(T) Structure
    • IPermutable Interface
    • ISummarizable Interface
    • Iterators Class
    • IVector Interface
    • MachineConstants Class
    • ManagedCoreProvider Class
    • ManagedCoreProviderOfSingle Class
    • Math(T) Class
    • Matrix Class
    • Matrix(T) Class
    • MatrixDiagonal Enumeration
    • MatrixElementOrder Enumeration
    • MatrixExtensions Class
    • MatrixNorm Enumeration
    • MatrixOperationSide Enumeration
    • MatrixStructure Enumeration
    • MatrixTriangle Enumeration
    • MutabilityBehaviour Enumeration
    • NumericalDifferentiation Class
    • NumericalIntegration Class
    • NumericsConfiguration Class
    • Operations(T) Class
    • Permutation Class
    • Quad Structure
    • RandomExtensions Class
    • Range Structure
    • RoundingMode Enumeration
    • SingleComparer Class
    • SingleComplex Structure
    • SingleComplexMatrix Class
    • SingleComplexVector Class
    • SingleConstants Class
    • SingleInterval Structure
    • SingleMatrix Class
    • SingleMatrixFiller Delegate
    • SinglePrecisionImplementations Class
    • SingleVector Class
    • SingleVectorFiller Delegate
    • Slice Structure
    • SolutionReport(T) Class
    • SolutionReport(T, TError) Class
    • Special Class
    • SummaryOptions Class
    • SymbolicMath Class
    • TotalLossOfPrecisionException Class
    • TransposeOperation Enumeration
    • TypedVectorWrapper(K, T) Structure
    • Vector Class
    • Vector(T) Class
    • VectorExtensions Class
  • Matrix(T) Class
    • Matrix(T) Constructors
    • Properties
    • Methods
    • Operators
  • Methods
    • AbsCore Method
    • AbsInPlace Method
    • AbsoluteMax Method
    • AbsoluteMin Method
    • AcosCore Method
    • AcoshCore Method
    • AcoshInPlace Method
    • AcosInPlace Method
    • Add Method
    • AddCore Method Overloads
    • AddInPlace Method Overloads
    • AddProductInPlace Method Overloads
    • AddScaledAsLeftCore Method Overloads
    • AddScaledAsRightCore Method Overloads
    • AddScaledInPlace Method
    • AddScaledInto Method
    • AddScaledProductInPlace Method Overloads
    • AggregateColumns Method Overloads
    • AggregateColumnsBy Method Overloads
    • AggregateColumnsListwise(U) Method
    • AggregateRows Method Overloads
    • AggregateRowsBy Method Overloads
    • AsDenseMatrix Method
    • AsinCore Method
    • AsinhCore Method
    • AsinhInPlace Method
    • AsinInPlace Method
    • Atan2AsXCore Method
    • Atan2AsYCore Method
    • AtanCore Method
    • AtanhCore Method
    • AtanhInPlace Method
    • AtanInPlace Method
    • CeilingCore Method
    • CeilingInPlace Method
    • Clone Method Overloads
    • CloneData Method
    • CloneShape Method
    • ComponentwiseDivide Method Overloads
    • ComponentwiseMultiply Method
    • Conjugate Method
    • ConjugateCore Method
    • ConjugateInPlace Method
    • ConjugateTranspose Method
    • CopyTo Method Overloads
    • CopyToOrClone Method
    • CosCore Method
    • CoshCore Method
    • CoshInPlace Method
    • CosInPlace Method
    • Dispose Method Overloads
    • DivideInPlace Method
    • ElementwiseConjugateMultiplyAsLeftCore Method
    • ElementwiseConjugateMultiplyAsRightCore Method
    • ElementwiseDivideAsLeftCore Method
    • ElementwiseDivideAsRightCore Method
    • ElementwiseDivideInPlace Method
    • ElementwiseMultiplyCore Method
    • ElementwiseMultiplyInPlace Method Overloads
    • ElementwisePowAsLeftCore Method Overloads
    • ElementwisePowAsRightCore Method Overloads
    • ElementwisePowCore Method Overloads
    • ElementwisePowInPlace Method Overloads
    • EnsureWritable Method Overloads
    • Equals Method Overloads
    • EqualToCore Method Overloads
    • EstimateConditionNumber Method
    • ExpCore Method
    • ExpInPlace Method
    • FillMissingValuesInPlace Method Overloads
    • FillMissingValuesInto Method Overloads
    • FloorCore Method
    • FloorInPlace Method
    • FrobeniusNorm Method
    • Get(R, C) Method
    • GetCholeskyDecomposition Method Overloads
    • GetColumn Method Overloads
    • GetColumnCore Method
    • GetColumnEnumerator Method
    • GetColumns Method Overloads
    • GetColumnSums Method
    • GetConditionNumber Method
    • GetDeterminant Method
    • GetDiagonal Method Overloads
    • GetEigenvalueDecomposition Method Overloads
    • GetExponential Method
    • GetHashCode Method Overloads
    • GetHermitianIndefiniteDecomposition Method Overloads
    • GetInverse Method Overloads
    • GetLQDecomposition Method Overloads
    • GetLUDecomposition Method Overloads
    • GetNearestColumn(C) Method
    • GetNearestColumns(C) Method
    • GetNearestRow(R) Method
    • GetNearestRows(R) Method
    • GetObjectData Method
    • GetParallelColumnEnumerator Method
    • GetParallelRowEnumerator Method
    • GetPseudoInverse Method
    • GetQLDecomposition Method Overloads
    • GetQRDecomposition Method Overloads
    • GetRow Method Overloads
    • GetRowCore Method
    • GetRowEnumerator Method
    • GetRows Method Overloads
    • GetRowSums Method
    • GetRQDecomposition Method Overloads
    • GetSingularValueDecomposition Method Overloads
    • GetSingularValues Method
    • GetSubmatrix Method Overloads
    • GetSubmatrixCore Method
    • GetSymmetricIndefiniteDecomposition Method Overloads
    • GetValue Method Overloads
    • GetValues Method
    • GreaterThanCore Method Overloads
    • GreaterThanOrEqualToCore Method Overloads
    • HypotCore Method
    • InfinityNorm Method
    • IsComponentWritable Method
    • IsElementWritable Method
    • IsMissing Method
    • IsSingular Method
    • LeastSquaresSolveInto Method Overloads
    • LessThanCore Method Overloads
    • LessThanOrEqualToCore Method Overloads
    • LessThanOrEqualToInto Method
    • Log10Core Method
    • Log10InPlace Method
    • LogCore Method Overloads
    • LogInPlace Method Overloads
    • MapAsFirstCore Method Overloads
    • MapAsSecondCore Method Overloads
    • MapColumns(U) Method
    • MapColumnsInPlace Method
    • MapColumnsInto(U) Method
    • MapInPlace Method Overloads
    • MapInto(U) Method
    • MapRows(U) Method
    • MapRowsInPlace Method
    • MapRowsInto(U) Method
    • Max Method
    • MaxCore Method Overloads
    • Min Method
    • MinCore Method Overloads
    • Multiply Method Overloads
    • MultiplyAndAddAsLeftFactorCore Method Overloads
    • MultiplyAndAddAsRightFactorCore Method
    • MultiplyAndAddInto Method
    • MultiplyAsLeftCore Method Overloads
    • MultiplyAsRightCore Method
    • MultiplyCore Method
    • MultiplyInPlace Method
    • NegateInPlace Method
    • NormInternal Method
    • NotEqualToCore Method Overloads
    • OneNorm Method
    • PermuteColumnsInPlace Method
    • PermuteRowsAndColumnsInPlace Method Overloads
    • PermuteRowsInPlace Method
    • Protect Method
    • ProtectInPlace Method
    • Rank Method Overloads
    • ReciprocalCore Method
    • Reduce(U) Method
    • ReduceColumns(U) Method
    • ReduceColumnsInto(U) Method
    • ReduceRows(U) Method
    • ReduceRowsInto(U) Method
    • RemoveWithMissingValues Method
    • Reshape Method
    • ReshapeAsVector Method
    • ScaleColumns Method
    • ScaleColumnsCore Method
    • ScaleColumnsInPlace Method
    • ScaleRows Method
    • ScaleRowsCore Method
    • ScaleRowsInPlace Method
    • SetToZero Method
    • SetValue Method Overloads
    • ShallowCopy Method
    • SinCore Method
    • SinhCore Method
    • SinhInPlace Method
    • SinInPlace Method
    • SolveInto Method Overloads
    • SortColumns Method Overloads
    • SortRows Method Overloads
    • SqrtCore Method
    • SqrtInPlace Method
    • SubtractAsLeftCore Method
    • SubtractAsRightCore Method
    • SubtractInPlace Method Overloads
    • Sum Method
    • Summarize Method Overloads
    • SwapColumns Method
    • SwapRows Method
    • TanCore Method
    • TanhCore Method
    • TanhInPlace Method
    • TanInPlace Method
    • ToArray Method Overloads
    • ToDataFrame Method Overloads
    • ToDenseMatrix Method
    • ToString Method Overloads
    • Trace Method
    • Transpose Method
    • TryEnsureWritable Method Overloads
    • TwoNorm Method
    • UnscaleColumns Method
    • UnscaleColumnsCore Method
    • UnscaleColumnsInPlace Method
    • UnscaleRows Method
    • UnscaleRowsCore Method
    • UnscaleRowsInPlace Method
  • GetDeterminant Method
MatrixTGetDeterminant Method Extreme Optimization Numerical Libraries for .NET Professional
Calculates the determinant of this matrix.

Namespace: Extreme.Mathematics
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 6.0.16073.0 (6.0.16312.0)
Syntax
C#
VB
C++
F#
Copy
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: T
The determinant of the DenseMatrixT.
Exceptions
ExceptionCondition
DimensionMismatchExceptionThe matrix is not square.
Version Information

Numerical Libraries

Supported in: 6.0
See Also

Reference

MatrixT Class
Extreme.Mathematics Namespace

Copyright (c) 2004-2016 ExoAnalytics Inc.

Send comments on this topic to support@extremeoptimization.com

Copyright © 2004-2018, Extreme Optimization. All rights reserved.
Extreme Optimization, Complexity made simple, M#, and M Sharp are trademarks of ExoAnalytics Inc.
Microsoft, Visual C#, Visual Basic, Visual Studio, Visual Studio.NET, and the Optimized for Visual Studio logo
are registered trademarks of Microsoft Corporation.