The Matrix3d type exposes the following members.
Constructors
| Name | Description | |
|---|---|---|
 | Matrix3d | Overloaded. |
Methods
| Name | Description | |
|---|---|---|
 | CrossProductMatrix3d | A 3d matrix defining a cross product. |
| DeepCopy | A deep copy of this instance. |
| DiagonalMatrix3d | A square diagonal 3d matrix. |
| Dispose | Disposes the 3d matrix |
| Equals | Tests if two 3d matrices are considered equal. (Overrides Object..::.Equals(Object).) |
| GetColumn | Gets a column of the 3d matrix as a vector. |
| GetHashCode | A hash code for this matrix. (Overrides Object..::.GetHashCode()()().) |
| GetRow | Gets a row of the 3d matrix as a vector. |
| GetType |
Gets the Type of the current instance.
(Inherited from Object.) |
| IdentityMatrix3d | A 3d identity-matrix. |
| Invert | Computes the inverse of a 3d matrix. |
| Normalize | Computes a column-wise normalized 3d matrix. |
| Orthonormalize | Computes a column-wise orthonormalized 3d matrix. |
| RandomMatrix3d | A 3d matrix filled with random values. |
| RotationArbitraryAxis | A spatial [3x3] rotation matrix defining a rotation around a given axis. |
| RotationEuler | A spatial [3x3] fixed axis rotation matrix defined by three Euler angles in the x-convention (Z-X-Z). |
| RotationTaitBryan | A spatial [3x3] moving axes rotation matrix defined by three rotations around the x, y and z axes. |
| RotationXAxis | A spatial [3x3] rotation matrix defining a counterclockwise rotation around the global X-axis. |
| RotationYAxis | A spatial [3x3] rotation matrix defining a counterclockwise rotation around the global Y-axis. |
| RotationZAxis | A spatial [3x3] rotation matrix defining a counterclockwise rotation around the global Z-axis. |
| SetColumn | Sets a column of the 3d matrix. |
| SetRow | Sets a row of the 3d matrix. |
| ToString | Returns the 3d matrix as a string in StringNumberFormat-format. (Overrides Object..::.ToString()()().) |
| Transpose | Computes a transposed 3d matrix. |
Operators
| Name | Description | |
|---|---|---|
 | Addition | 3d matrix addition. |
| Equality | Returns true if two 3d matrices are equal, false otherwise. |
| Inequality | Returns false, if two 3d matrices are equal, true otherwise. |
| Multiply | Overloaded. |
| Subtraction | 3d matrix subtraction. |
| UnaryNegation | Unary minus. |
Properties
| Name | Description | |
|---|---|---|
 | a00 | The matrix element [0,0] in the first row and the first column. |
| a01 | The matrix element [0,1] in the first row and the second column. |
| a02 | The matrix element [0,2] in the first row and the third column. |
| a10 | The matrix element [1,0] in the second row and the first column. |
| a11 | The matrix element [1,1] in the second row and the second column. |
| a12 | The matrix element [1,2] in the second row and the third column. |
| a20 | The matrix element [2,0] in the third row and the first column. |
| a21 | The matrix element [2,1] in the third row and the second column. |
| a22 | The matrix element [2,2] in the third row and the third column. |
| Determinant | Gets the determinant of the 3d matrix. |
| FrobeniusNorm | Gets the Frobenius Norm of the 3d matrix. |
| InfinityNorm | Gets the Infinity-norm of the 3d matrix |
| IsOrthogonal | Tests if the 3d matrix is orthogonal. |
| IsOrthonormal | Tests if the 3d matrix is orthonormal. |
| IsRotationMatrix | Tests if the 3d matrix is a right-handed rotation matrix. |
| IsSymmetric | Tests if the 3d matrix is symmetric. |
| IsSymmetricPositiveDefinite | Tests if the matrix is symmetric and positive definite. |
| Norm1 | Gets the One-norm of the 3d matrix |
| SymmetricEigenvalues | Gets the eigenvalues of the matrix if the matrix is symmetric. |
| SymmetricEigenvectors | Gets the eigenvectors of the matrix if the matrix is symmetric. |
| Trace | Gets the trace of the 3d matrix. |
See Also
