This class is subject to change. Programs using this class may require changes with a new version of VirtualLab.
This class defines a 3x3 Matrix of complex numbers.
Operators ( \(a+b\), \(a-b\)). Operator ( \(a*b\)) supports \(b\) as complex or Vector3C as well. More...

Public Member Functions
Complex	Determinant ()
	Calculates the determinant of current Matrix3x3. More...

override bool	Equals (object matrix)
	Compares two matrices for equality. More...

Vector3C	GetCol (int index)
	Returns specified column current Matrix3x3 as VectorC. More...

override int	GetHashCode ()
	Returns a hash code for this instance. More...

Matrix3x3C	GetInverse ()
	Calculates the inverse Matrix3x3 of current one. More...

Vector3C	GetRow (int index)
	Returns specified row current Matrix3x3 as VectorC. More...

Matrix3x3C	GetTransposed ()
	Returns transposed Matrix3x3 of current one. More...

bool	IsIdentity ()
	Checks whether the matrix is the identity matrix. More...

bool	IsIdentityNumericalChecks ()
	Checks whether the matrix is the identity matrix. More...

	Matrix3x3C ()
	Standard constructor, creates an empty (all zero values) matrix. More...

	Matrix3x3C (Complex c)
	Constructor to get a diagonal matrix having constant value \(c\) on all diagonal elements. More...

	Matrix3x3C (Complex m11, Complex m21, Complex m31, Complex m12, Complex m22, Complex m32, Complex m13, Complex m23, Complex m33)
	Constructor taking nine complex to initialize Matrix3x3C. More...

	Matrix3x3C (Matrix3x3C matC)
	Copy constructor. More...

	Matrix3x3C (Vector3C firstCol, Vector3C secondCol, Vector3C thirdCol)
	Constructor taking three VectorC to initialize Matrix3x3C. More...

override string	ToString ()
	Returns an output string representing current Matrix3x3. More...

Static Public Member Functions
static Matrix3x3C	InverseMatrix (Matrix3x3C mat)
	Calculates inverse current Matrix3x3C of the given one. More...

static	operator CenterSpace.NMath.Core.DoubleComplexMatrix (Matrix3x3C matrix)
	Explicit cast operator definition for casting VirtualLabAPI Matrix3x3C to CenterSpace.NMath.Core.DoubleComplexMatrix. More...

static bool	operator!= (Matrix3x3C a, Matrix3x3C b)
	Checks to matrices for inequality. More...

static Matrix3x3C	operator* (double b, Matrix3x3C a)
	Multiplies a Matrix3x3C with a scalar. More...

static Matrix3x3C	operator* (Matrix3x3C a, double b)
	Multiplies a Matrix3x3C with a scalar. More...

static Matrix3x3C	operator* (Matrix3x3C a, Matrix3x3C b)
	Multiplies the elements of two Matrix3x3C objects. More...

static Matrix3x3C	operator* (Matrix3x3C a, Matrix3x3D b)
	Multiplies the elements of two 3x3 matrices. More...

static Vector3C	operator* (Matrix3x3C a, Vector3C vec)
	Multiplies a Matrix with an 3-dim. complex Vector (A*Vec) More...

static Matrix3x3C	operator* (Matrix3x3D a, Matrix3x3C b)
	Multiplies the elements of two 3x3 matrices objects. More...

static Matrix3x3C	operator+ (Matrix3x3C a, Matrix3x3C b)
	Adds the elements of two Matrix3x3C objects. More...

static Matrix3x3C	operator- (Matrix3x3C a, Matrix3x3C b)
	Subtracts the elements of two Matrix3x3C objects. More...

static bool	operator== (Matrix3x3C a, Matrix3x3C b)
	Compares two matrices. Two matrices are equal when they are equal in all elements. More...

Public Attributes
Complex[]	_elements
	The field in which the complex elements are stored. Note that indices [1..9] are interpreted mathematical. [0] exists but contains no information. Mapping of rows [1..3] and columns [1..3] to one-dimensional index \(i\) is defined by: \(i := row + 3 * (column-1)\).

Properties
Complex	this[int row, int col] `[get, set]`
	Gets or sets a certain matrix element. More...

Detailed Description

This class is subject to change. Programs using this class may require changes with a new version of VirtualLab.
This class defines a 3x3 Matrix of complex numbers.
Operators ( \(a+b\), \(a-b\)). Operator ( \(a*b\)) supports \(b\) as complex or Vector3C as well.

Constructor & Destructor Documentation

◆ Matrix3x3C() [1/5]

Matrix3x3C ( )

Standard constructor, creates an empty (all zero values) matrix.

◆ Matrix3x3C() [2/5]

Matrix3x3C ( Complex c )

Constructor to get a diagonal matrix having constant value \(c\) on all diagonal elements.

Parameters

c	Value \(c\) used to initialize diagonal elements.

◆ Matrix3x3C() [3/5]

Matrix3x3C ( Matrix3x3C matC )

Copy constructor.

Parameters

matC	Matrix3x3C to be copied.

◆ Matrix3x3C() [4/5]

Matrix3x3C	(	Vector3C	firstCol,
		Vector3C	secondCol,
		Vector3C	thirdCol
	)

Constructor taking three VectorC to initialize Matrix3x3C.

Parameters

firstCol	First column.
secondCol	Second column.
thirdCol	Third column.

◆ Matrix3x3C() [5/5]

Matrix3x3C	(	Complex	m11,
		Complex	m21,
		Complex	m31,
		Complex	m12,
		Complex	m22,
		Complex	m32,
		Complex	m13,
		Complex	m23,
		Complex	m33
	)

Constructor taking nine complex to initialize Matrix3x3C.

Parameters

m11	First element of first column.
m21	Second element of first column.
m31	Third element of first column.
m12	First element of second column.
m22	Second element of second column.
m32	Third element of second column.
m13	First element of third column.
m23	Second element of third column.
m33	Third element of third column.

Member Function Documentation

◆ Determinant()

Complex Determinant ( )

Calculates the determinant of current Matrix3x3.

Returns

◆ Equals()

override bool Equals ( object matrix )

Compares two matrices for equality.

Parameters

matrix matrix to compare with

Returns: True if the two matrices store the same values.

◆ GetCol()

Vector3C GetCol ( int index )

Returns specified column current Matrix3x3 as VectorC.

Parameters

index Column to return (index is one-based!).

Returns: Result of operation.

◆ GetHashCode()

override int GetHashCode ( )

Returns a hash code for this instance.

Returns: A hash code for this instance, suitable for use in hashing algorithms and data structures like a hash table.

◆ GetInverse()

Matrix3x3C GetInverse ( )

Calculates the inverse Matrix3x3 of current one.

Returns

◆ GetRow()

Vector3C GetRow ( int index )

Returns specified row current Matrix3x3 as VectorC.

Parameters

index Row to return (index is one-based!).

Returns: Result of operation.

◆ GetTransposed()

Matrix3x3C GetTransposed ( )

Returns transposed Matrix3x3 of current one.

Returns: Result of operation..

◆ InverseMatrix()

static Matrix3x3C InverseMatrix ( Matrix3x3C mat )

static

Calculates inverse current Matrix3x3C of the given one.

Parameters

mat	Matrix3x3C to invert.

Returns: Result of operation.

◆ IsIdentity()

bool IsIdentity ( )

Checks whether the matrix is the identity matrix.

Returns: TRUE iff the matrix is the identity matrix

◆ IsIdentityNumericalChecks()

bool IsIdentityNumericalChecks ( )

Checks whether the matrix is the identity matrix.

Returns: TRUE iff the matrix is the identity matrix

◆ operator CenterSpace.NMath.Core.DoubleComplexMatrix()

static operator CenterSpace.NMath.Core.DoubleComplexMatrix ( Matrix3x3C matrix )

explicitstatic

Explicit cast operator definition for casting VirtualLabAPI Matrix3x3C to CenterSpace.NMath.Core.DoubleComplexMatrix.

Parameters

matrix The VirtualLabAPI Matrix3x3C to be casted to a CenterSpace.NMath.Core.DoubleComplexMatrix.

◆ operator!=()

static bool operator!=	(	Matrix3x3C	a,
		Matrix3x3C	b
	)

static

Checks to matrices for inequality.

Parameters

a	first matrix
b	second matrix

Returns: FALSE if they are equal, otherwise TRUE.

◆ operator*() [1/6]

static Matrix3x3C operator*	(	double	b,
		Matrix3x3C	a
	)

static

Multiplies a Matrix3x3C with a scalar.

Parameters

b	scalar
a	Matrix

Returns: product

◆ operator*() [2/6]

static Matrix3x3C operator*	(	Matrix3x3C	a,
		double	b
	)

static

Multiplies a Matrix3x3C with a scalar.

Parameters

a	Matrix
b	scalar

Returns: product

◆ operator*() [3/6]

static Matrix3x3C operator*	(	Matrix3x3C	a,
		Matrix3x3C	b
	)

static

Multiplies the elements of two Matrix3x3C objects.

Parameters

a	the first matrix
b	the second matrix

Returns: The product of the two matrices.

◆ operator*() [4/6]

static Matrix3x3C operator*	(	Matrix3x3C	a,
		Matrix3x3D	b
	)

static

Multiplies the elements of two 3x3 matrices.

Parameters

a	the first matrix
b	the second matrix

Returns: The product of the two matrices.

◆ operator*() [5/6]

static Vector3C operator*	(	Matrix3x3C	a,
		Vector3C	vec
	)

static

Multiplies a Matrix with an 3-dim. complex Vector (A*Vec)

Parameters

a	3x3-Matrix
vec	Vector3C

Returns: Product: Vector3C

◆ operator*() [6/6]

static Matrix3x3C operator*	(	Matrix3x3D	a,
		Matrix3x3C	b
	)

static

Multiplies the elements of two 3x3 matrices objects.

Parameters

a	the first matrix
b	the second matrix

Returns: The product of the two matrices.

◆ operator+()

static Matrix3x3C operator+	(	Matrix3x3C	a,
		Matrix3x3C	b
	)

static

Adds the elements of two Matrix3x3C objects.

Parameters

a	the first matrix
b	the second matrix

Returns: The sum of the two matrices.

◆ operator-()

static Matrix3x3C operator-	(	Matrix3x3C	a,
		Matrix3x3C	b
	)

static

Subtracts the elements of two Matrix3x3C objects.

Parameters

a	the first matrix
b	the second matrix

Returns: The Difference of the two matrices.

◆ operator==()

static bool operator==	(	Matrix3x3C	a,
		Matrix3x3C	b
	)

static

Compares two matrices. Two matrices are equal when they are equal in all elements.

Parameters

a	first matrix
b	second matrix

Returns: TRUE if they are equal, otherwise false.

◆ ToString()

override string ToString ( )

Returns an output string representing current Matrix3x3.

Returns

Property Documentation

◆ this[int row, int col]

Complex this[int row, int col]

getset

Gets or sets a certain matrix element.

The selected matrix element.

Parameters

row	The zero-based row index.
col	The zero-based column index.

Returns: The element at the specified matrix position.

Exceptions

System.ArgumentOutOfRangeException At least one of the two given indices is out of range.

Public Member Functions

Static Public Member Functions

Public Attributes

Properties

Detailed Description

Constructor & Destructor Documentation

◆ Matrix3x3C() [1/5]

◆ Matrix3x3C() [2/5]

◆ Matrix3x3C() [3/5]

◆ Matrix3x3C() [4/5]

◆ Matrix3x3C() [5/5]

Member Function Documentation

◆ Determinant()

◆ Equals()

◆ GetCol()

◆ GetHashCode()

◆ GetInverse()

◆ GetRow()

◆ GetTransposed()

◆ InverseMatrix()

◆ IsIdentity()

◆ IsIdentityNumericalChecks()

◆ operator CenterSpace.NMath.Core.DoubleComplexMatrix()

◆ operator!=()

◆ operator*() [1/6]

◆ operator*() [2/6]

◆ operator*() [3/6]

◆ operator*() [4/6]

◆ operator*() [5/6]

◆ operator*() [6/6]

◆ operator+()

◆ operator-()

◆ operator==()

◆ ToString()

Property Documentation

◆ this[int row, int col]