Matrix3By3 Structure |
A 3-by-3 matrix. This type is often used to represent a rotation. This
represents an 'alias' rotation which transforms coordinates by modifying the underlying coordinate
basis rather than modifying the coordinates themselves.
Namespace: AGI.Foundation.Coordinates
Assembly: AGI.Foundation.Core (in AGI.Foundation.Core.dll) Version: 24.3.420.0 (24.3.420.0)
SyntaxThe Matrix3By3 type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | Matrix3By3(AngleAxisRotation) |
Initializes a new instance from an angle axis rotation.
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| Matrix3By3(EigenDecomposition) |
Initializes a new instance from an EigenDecomposition.
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| Matrix3By3(ElementaryRotation) |
Initializes a new instance representing an elementary rotation about one of the original axes.
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| Matrix3By3(EulerSequence) |
Initializes a new instance from the provided EulerSequence.
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| Matrix3By3(Matrix3By3Symmetric) |
Initializes a new instance from a Matrix3By3Symmetric.
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| Matrix3By3(UnitQuaternion) |
Initializes a new instance from a UnitQuaternion.
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| Matrix3By3(YawPitchRoll) |
Initializes a new instance from the provided YawPitchRoll sequence.
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| Matrix3By3(Double, Double, Double, Double, Double, Double, Double, Double, Double) |
Initializes a new instance from elements.
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Properties| Name | Description | |
|---|---|---|
  | Identity |
Gets a Matrix3By3 representing an identity transformation.
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| IsUndefined |
Gets a value indicating whether any of the matrix values are NaN.
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| Item |
Accesses the matrix elements using zero-based indexing.
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| M11 |
Gets the element in the first row, first column.
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| M12 |
Gets the element in the first row, second column.
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| M13 |
Gets the element in the first row, third column.
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| M21 |
Gets the element in the second row, first column.
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| M22 |
Gets the element in the second row, second column.
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| M23 |
Gets the element in the second row, third column.
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| M31 |
Gets the element in the third row, first column.
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| M32 |
Gets the element in the third row, second column.
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| M33 |
Gets the element in the third row, third column.
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| Undefined |
Gets a Matrix3By3 with elements of NaN.
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| Zero |
Gets a Matrix3By3 representing the zero matrix.
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Methods| Name | Description | |
|---|---|---|
| Add(Matrix3By3) |
Adds a matrix to this matrix.
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| Add(Matrix3By3Symmetric) |
Adds a matrix to this matrix.
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| CrossProductEquivalentMatrix(Cartesian) |
Forms a Matrix3By3 from the input vector such that the result of the cross product of the input vector
with another vector is equivalent to premultiplying the other vector by the returned matrix.
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| CrossProductEquivalentMatrix(UnitCartesian) |
Forms a Matrix3By3 from the input vector such that the result of the cross product of the input unit vector
with another vector is equivalent to premultiplying the other vector by the returned matrix.
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| Determinant |
Calculates the determinant of the matrix.
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| DiagonalMatrix(Cartesian) |
Forms a diagonal matrix from the input vector.
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| DiagonalMatrix(UnitCartesian) |
Forms a diagonal matrix from the input unit vector.
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| DiagonalMatrix(Double, Double, Double) |
Forms a diagonal matrix from the input elements.
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| Equals(Matrix3By3) |
Indicates whether another instance of this type is exactly equal to this instance.
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| Equals(Matrix3By3Symmetric) |
Indicates whether another instance of this type is exactly equal to this instance.
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| Equals(Object) |
Indicates whether another object is exactly equal to this instance.
(Overrides ValueTypeEquals(Object).) |
| EqualsEpsilon |
Returns true if all of the elements of this matrix are within epsilon
of the same elements of the specified matrix. That is, in order for the matrices to be
considered equal (and for this function to return true), the absolute value of the
difference between each of their elements must be less than or equal to epsilon.
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| FrobeniusNorm |
Computes the Frobenius norm of the matrix.
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| FrobeniusNormSquared |
Computes the square of the Frobenius norm of the matrix.
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| GetHashCode |
Returns a hash code for this instance, which is suitable for use in hashing algorithms and data structures like a hash table.
(Overrides ValueTypeGetHashCode.) |
| GetType | Gets the Type of the current instance. (Inherited from Object.) |
| Invert |
Inverts the matrix.
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| Multiply(Cartesian) |
Forms a new Cartesian vector as the product of this 3-by-3 matrix and the provided Cartesian vector.
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| Multiply(Double) |
Multiplies this matrix by a scalar.
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| Multiply(ElementaryRotation) |
Forms a new 3-by-3 matrix as the product of this 3-by-3 matrix and the provided elementary rotation.
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| Multiply(Matrix3By3) |
Multiplies this matrix by a matrix.
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| Multiply(Matrix3By3Symmetric) |
Multiplies this matrix by a matrix.
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| Subtract(Matrix3By3) |
Subtracts a matrix from this matrix.
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| Subtract(Matrix3By3Symmetric) |
Subtracts a matrix from this matrix.
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| ToString | Returns the fully qualified type name of this instance. (Inherited from ValueType.) |
| Transpose |
Transposes the matrix.
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Operators| Name | Description | |
|---|---|---|
 | Addition(Matrix3By3, Matrix3By3) |
Adds a matrix to this matrix.
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| Addition(Matrix3By3, Matrix3By3Symmetric) |
Adds a matrix to this matrix.
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| Equality |
Returns if the two instances are exactly equal.
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| Inequality |
Returns if the two instances are not exactly equal.
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| Multiply(Double, Matrix3By3) |
Multiplies a scalar by a matrix.
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| Multiply(Matrix3By3, Cartesian) |
Multiplies the 3-by-3 matrix by the Cartesian vector.
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| Multiply(Matrix3By3, ElementaryRotation) |
Multiplies a 3-by-3 matrix by an ElementaryRotation.
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| Multiply(Matrix3By3, Matrix3By3) |
Multiplies the left matrix by the right matrix.
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| Multiply(Matrix3By3, Matrix3By3Symmetric) |
Multiplies the left matrix by the right matrix.
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| Multiply(Matrix3By3, Double) |
Multiplies a matrix by a scalar.
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| Subtraction(Matrix3By3, Matrix3By3) |
Subtracts the second matrix from the first.
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| Subtraction(Matrix3By3, Matrix3By3Symmetric) |
Subtracts the second matrix from the first.
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Remarks
For more information, see the Coordinates topic.
See Also