Matrix |
A structure encapsulating a double precision 3x3 matrix.
Inheritance HierarchyNamespace: NeoAxis
Assembly: NeoAxis.Core (in NeoAxis.Core.dll) Version: 2026.1.1.0 (2026.1.1.0)
SyntaxC#
public struct Matrix3
The Matrix3 type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | Matrix3(Matrix3) | Constructs a matrix with another specified Matrix3 object. |
| Matrix3(Matrix3F) | Constructs a matrix with another specified matrix of Matrix3F format. |
| Matrix3(Vector3, Vector3, Vector3) | Constructs a matrix with the specified Vector3 elements, which are the corresponding rows of the matrix. |
| Matrix3(Double, Double, Double, Double, Double, Double, Double, Double, Double) | Constructs a matrix with the given individual elements. |
Properties| Name | Description | |
|---|---|---|
 | ItemInt32 | Gets or sets the row of the current instance of Matrix3 at the specified index. |
| ItemInt32, Int32 | Gets or sets the component at the specified index. |
Methods| Name | Description | |
|---|---|---|
 | Add | Adds two matricies. |
| Decompose(Matrix3, Vector3) | Decomposes a matrix into a rotation and scale. |
| Decompose(Quaternion, Vector3) | Decomposes a matrix into a rotation and scale. |
| DecomposeScale | |
| DecomposeScaleMaxComponent | |
| Equals(Object) |
Determines whether the specified object is equal to the current instance of Matrix3.
(Overrides ValueTypeEquals(Object)) |
| Equals(Matrix3, Double) | Determines whether the specified matrix is equal to the current instance of Matrix3 with a given precision. |
| Equals(Matrix3, Double) | Determines whether the specified matrix is equal to the current instance of Matrix3 with a given precision. |
| FromRotateByX(Radian) | Creates a matrix that rotates around the x-axis. |
| FromRotateByX(Radian, Matrix3) | Creates a matrix that rotates around the x-axis. |
| FromRotateByY(Radian) | Creates a matrix that rotates around the y-axis. |
| FromRotateByY(Radian, Matrix3) | Creates a matrix that rotates around the y-axis. |
| FromRotateByZ(Radian) | Creates a matrix that rotates around the z-axis. |
| FromRotateByZ(Radian, Matrix3) | Creates a matrix that rotates around the z-axis. |
| FromScale(Double) | Creates a scale matrix with the specified Double value. |
| FromScale(Vector3) | Creates a scale matrix with the specified Vector3 object. |
| FromScale(Double, Matrix3) | Creates a scale matrix with the specified Double value. |
| FromScale(Vector3, Matrix3) | Creates a scale matrix with the specified Vector3 object. |
| GetHashCode |
Returns a hash code for this instance.
(Overrides ValueTypeGetHashCode) |
| GetInverse | Inverts the current instance of Matrix3 if it is invertible and returns the result. |
| GetInverse(Matrix3) | Inverts the current instance of Matrix3 if it is invertible. |
| GetTrace | Gets the trace of the matrix, the sum of the values along the diagonal. |
| GetTranspose | Returns the transpose of the current instance of Matrix3. |
| GetTranspose(Matrix3) | Calculates the transpose of the current instance of Matrix3. |
| GetType | Gets the Type of the current instance. (Inherited from Object) |
| Inverse | Inverts the current instance of Matrix3 and determines whether the matrix is invertible. Determines whether the current instance of Matrix3 is invertible and, if so, inverts this matrix. |
| LookAt(Vector3, Vector3) | Creates a look-at matrix. |
| LookAt(Vector3, Vector3, Matrix3) | Creates a look-at matrix. |
| Multiply(Double, Matrix3, Matrix3) | Multiplies a matrix by a given value. |
| Multiply(Matrix3, Matrix3, Matrix3) | Multiplies two matrices. |
| Multiply(Matrix3, Vector3, Vector3) | Multiplies a matrix by a given Vector3 structure. |
| Multiply(Matrix3, Double, Matrix3) | Multiplies a matrix by a given value. |
| Multiply(Vector3, Matrix3, Vector3) | Multiplies a matrix by a given Vector3 structure. |
| Negate | Negates a matrix. |
| Parse | Converts a string representation of a matrix into the equivalent Matrix3 structure. |
| QDUDecomposition | Decomposites the matrix by Gram-Schmidt orthogonalization algorithm (the QR algorithm). |
| Subtract | Subtracts two matricies. |
| ToAngles | Converts the current instance of Matrix3 to Euler angles. |
| ToAngles(Angles) | Converts the current instance of Matrix3 to Euler angles. |
| ToMatrix3F | Converts the current instance of Matrix3 into the equivalent Matrix3F structure. |
| ToMatrix3F(Matrix3F) | Converts the current instance of Matrix3 into the equivalent Matrix3F structure. |
| ToMatrix4 | Converts the current instance of Matrix3 into the equivalent Matrix4 structure. |
| ToMatrix4(Matrix4) | Converts the current instance of Matrix3 into the equivalent Matrix4 structure. |
| ToQuaternion | Converts the current instance of Matrix3 into the equivalent Quaternion structure. |
| ToQuaternion(Quaternion) | Converts the current instance of Matrix3 into the equivalent Quaternion structure. |
| ToString |
Returns a String that represents the current instance of Matrix3.
(Overrides ValueTypeToString) |
| Transpose | Transposes the matrix. |
Operators| Name | Description | |
|---|---|---|
 | Addition(Matrix3, Matrix3) | Adds two matricies. |
| Equality(Matrix3, Matrix3) | Determines whether two given matricies are equal. |
| Inequality(Matrix3, Matrix3) | Determines whether two given matricies are unequal. |
| Multiply(Double, Matrix3) | Multiplies a matrix by a given value. |
| Multiply(Matrix3, Matrix3) | Multiplies two matrices. |
| Multiply(Matrix3, Vector3) | Multiplies a matrix by a given Vector3 structure. |
| Multiply(Matrix3, Double) | Multiplies a matrix by a given value. |
| Multiply(Vector3, Matrix3) | Multiplies a matrix by a given Vector3 structure. |
| Subtraction(Matrix3, Matrix3) | Subtracts two matricies. |
| UnaryNegation(Matrix3) | Negates a matrix. |
Fields| Name | Description | |
|---|---|---|
 | Identity | The identity matrix. |
| Item0 | The first row of the matrix. |
| Item1 | The second row of the matrix. |
| Item2 | The third row of the matrix. |
| Zero | The matrix with all of its components set to zero. |
Extension Methods| Name | Description | |
|---|---|---|
 | MethodInvoke |
Calls the object method by name.
(Defined by ObjectEx) |
| PropertyGet |
Gets the value of the object property by name.
(Defined by ObjectEx) |
| PropertyGetT |
Gets the value of the object property by name.
(Defined by ObjectEx) |
| PropertySet |
Sets the value of the object property by name.
(Defined by ObjectEx) |
See Also