Matrix2d Structure

SystemObject
  SystemValueType
    Teigha.GeometryMatrix2d

	Name	Description
	Matrix2d	Constructor for the Matrix2d class. Creates a matrix with elements taken from the passed array.

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	Name	Description
	CoordinateSystem2d
	ElementAt	Property that represents an element of this matrix at the specified row and column indices.
	Translation

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	Name	Description
	AlignCoordinateSystem	Returns the matrix that maps the coordinate system defined by the fromOrigin origin and the fromE0 and fromE1 axes, to the coordinate system defined by the toOrigin origin and the toE0 and toE1 axes.
	Displacement	Returns the displacement (translation) matrix by the specified vector.
	Equals	Checks objects for equality. (Overrides ValueTypeEquals(Object))
	GetDeterminant	Returns the determinant of this matrix.
	GetHashCode	Retrieves the object hash code. (Overrides ValueTypeGetHashCode)
	GetScale	Returns the scale factor of this matrix. The scale factor is the square root of the longest column vector of the linear part of this matrix.
	GetType	Gets the Type of the current instance. (Inherited from Object)
	Inverse	Returns the inverse of this matrix.
	IsConformal	Checks whether this matrix is conformal (isUniScaledOrtho()), and returns the matrix information that contains the scale factor, angle of rotation, the presence of a mirror component to the matrix, and the direction of reflection.
	IsEqualTo(Matrix2d)	Checks whether this matrix is equal to the passed matrix.
	IsEqualTo(Matrix2d, Tolerance)	Checks whether this matrix is equal to the passed matrix according to the specified tolerance.
	IsScaledOrtho	Checks whether the column vectors of the linear part of this matrix are perpendicular to each other.
	IsScaledOrtho(Tolerance)	Checks whether the column vectors of the linear part of this matrix are perpendicular to each other according to the specified tolerance.
	IsSingular	Checks whether this matrix is singular.
	IsSingular(Tolerance)	Checks whether this matrix is singular according to the specified tolerance.
	IsUniscaledOrtho	Checks whether the column vectors of the linear part of this matrix are of equal length and perpendicular to each other.
	IsUniscaledOrtho(Tolerance)	Checks whether the column vectors of the linear part of this matrix are of equal length and perpendicular to each other according to the specified tolerance.
	Mirroring(Line2d)	Returns the matrix that mirrors about the specified line.
	Mirroring(Point2d)	Returns the matrix that mirrors about the specified point.
	Multiply	Multiplies the specified matrix with this matrix. This method is identical to the PreMultiplyBy method which sets this matrix to the product of matrix * (this matrix).
	PostMultiplyBy	Sets this matrix to the product of (this matrix) * rightSide and returns the resulting matrix.
	PreMultiplyBy	Sets this matrix to the product of leftSide * (this matrix) and returns the resulting matrix.
	Rotation	Returns the matrix that rotates by angle about the center.
	Scaling	Returns the matrix that scales by a scale factor about the center.
	ToArray	Returns an array that contains matrix elements. Matrix elements are assigned by rows (data11, data12 ... data33). The resulting array contains nine elements.
	ToString	Returns a string representation of this matrix. (Overrides ValueTypeToString)
	ToString(IFormatProvider)	Returns an equivalent string representation of this object.
	ToString(String, IFormatProvider)	Returns an equivalent string representation of this object.
	Transpose	Returns the transpose of this matrix.

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	Name	Description
	Equality(Matrix2d, Matrix2d)	Equality operator for the Matrix2d structure. Checks whether matrix elements are equal.
	Inequality(Matrix2d, Matrix2d)	Inequality operator for the Matrix2d structure. Checks whether matrix elements are not equal.
	Multiply(Matrix2d, Matrix2d)	Multiplication operator for the Matrix2d structure. Multiplies the left matrix by the right matrix (a*b).

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Matrix2d may be viewed as an array[3][3] of doubles. A Matrix2d, M, can be expressed as a 3 by 3 matrix, in the form

   a00   a01   t0
   a10   a11   t1
     0     0    1

The linear part of M is the matrix

   a00   a01
   a10   a11

The translational part of M is the column

   t0
   t1

The origin of the coordinate system of M is (t0, t1).

Reference