[SerializableAttribute]
public abstract class LinearTransformation

<SerializableAttribute>
Public MustInherit Class LinearTransformation

[SerializableAttribute]
public ref class LinearTransformation abstract

[<AbstractClassAttribute>]
[<SerializableAttribute>]
type LinearTransformation =  class end

The LinearTransformation type exposes the following members.

	Name	Description
	LinearTransformation	Constructs a new LinearTransformation.
	LinearTransformation(SerializationInfo, StreamingContext)	Constructs a new LinearTransformation from serialization data.

	Name	Description
	Equals	Determines whether the specified Object is equal to the current Object. (Inherited from Object.)
	EstimateConditionNumber	Calculates an estimate for the condition number of a matrix.
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.)
	GetDeterminant	Calculates the determinant of a matrix.
	GetHashCode	Serves as a hash function for a particular type. (Inherited from Object.)
	GetInverse	Calculates the inverse matrix..
	GetObjectData	Populates a SerializationInfo with the data needed to serialize the target object.
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	IsSingular	Gets a value indicating whether the Matrix is singular.
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	Rank	Returns the numerical rank of a matrix.
	Rank(Double)	Returns the numerical rank of a matrix using the specified tolerance.
	Solve(Matrix)	Solves the system of linear equations for the specified right-hand side Matrix.
	Solve(Vector)	Solves the system of linear equations for the specified right-hand side Vector.
	Solve(GeneralMatrix, Boolean)	Solves the system of linear equations for the specified right-hand side GeneralMatrix and optionally overwrites the right-hand side with the solution.
	Solve(GeneralVector, Boolean)	Solves the system of linear equations for the specified right-hand side GeneralVector and optionally overwrites the right-hand side with the solution.
	SolveTranspose(Matrix)	Solves the transposed system of linear equations for the specified right-hand side Matrix.
	SolveTranspose(Vector)	Solves the system of linear equations for the specified right-hand side Vector.
	SolveTranspose(GeneralMatrix, Boolean)	Solves the transposed system of linear equations for the specified right-hand side GeneralMatrix and optionally overwrites the right-hand side with the solution.
	SolveTranspose(GeneralVector, Boolean)	Solves the transposed system of linear equations for the specified right-hand side GeneralVector and optionally overwrites the right-hand side with the solution.
	ToString	Returns a string that represents the current object. (Inherited from Object.)

LinearTransformation is implemented by all Matrix classes and all classes that represent matrix decompositions.

The solution of a system of simultaneous linear equations represented by a Matrix is one of the most common tasks in linear algebra. The Solve(Vector) mechanism, which is overloaded, defines a common method for all classes that can represent matrices. This not only includes the Matrix class and its descendants, but also the Decomposition class and its descendants.

LinearTransformation also defines operations that are related to solving systems of equations, such as calculating the matrix GetInverse, the GetDeterminant and an estimate for the EstimateConditionNumber.

Numerical Libraries

Reference