Matrix6By6Symmetric Class

A 6-by-6 symmetric matrix. This type is often used to represent position and velocity covariance.

Inheritance Hierarchy

SystemObject
AGI.Foundation.CoordinatesMatrix6By6Symmetric

Namespace: AGI.Foundation.Coordinates
Assembly: AGI.Foundation.Core (in AGI.Foundation.Core.dll) Version: 24.3.420.0 (24.3.420.0)

Syntax

C++

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public class Matrix6By6Symmetric : IEquatable<Matrix6By6Symmetric>, 
	IEquatableEpsilon<Matrix6By6Symmetric>

Public Class Matrix6By6Symmetric
	Implements IEquatable(Of Matrix6By6Symmetric), IEquatableEpsilon(Of Matrix6By6Symmetric)

public ref class Matrix6By6Symmetric : IEquatable<Matrix6By6Symmetric^>, 
	IEquatableEpsilon<Matrix6By6Symmetric^>

type Matrix6By6Symmetric =  
    class
        interface IEquatable<Matrix6By6Symmetric>
        interface IEquatableEpsilon<Matrix6By6Symmetric>
    end

The Matrix6By6Symmetric type exposes the following members.

Properties

	Name	Description
	Identity	Gets a Matrix6By6Symmetric representing an identity transformation.
	IsUndefined	Gets a value indicating whether any of the matrix values are NaN.
	Item	Accesses the matrix elements using zero-based indexing.
	M11	Gets the element in the first row, first column.
	M12	Gets the element in the first row, second column.
	M13	Gets the element in the first row, third column.
	M14	Gets the element in the first row, fourth column.
	M15	Gets the element in the first row, fifth column.
	M16	Gets the element in the first row, sixth column.
	M21	Gets the element in the second row, first column.
	M22	Gets the element in the second row, second column.
	M23	Gets the element in the second row, third column.
	M24	Gets the element in the second row, fourth column.
	M25	Gets the element in the second row, fifth column.
	M26	Gets the element in the second row, sixth column.
	M31	Gets the element in the third row, first column.
	M32	Gets the element in the third row, second column.
	M33	Gets the element in the third row, third column.
	M34	Gets the element in the third row, fourth column.
	M35	Gets the element in the third row, fifth column.
	M36	Gets the element in the third row, sixth column.
	M41	Gets the element in the fourth row, first column.
	M42	Gets the element in the fourth row, second column.
	M43	Gets the element in the fourth row, third column.
	M44	Gets the element in the fourth row, fourth column.
	M45	Gets the element in the fourth row, fifth column.
	M46	Gets the element in the fourth row, sixth column.
	M51	Gets the element in the fifth row, first column.
	M52	Gets the element in the fifth row, second column.
	M53	Gets the element in the fifth row, third column.
	M54	Gets the element in the fifth row, fourth column.
	M55	Gets the element in the fifth row, fifth column.
	M56	Gets the element in the fifth row, sixth column.
	M61	Gets the element in the sixth row, first column.
	M62	Gets the element in the sixth row, second column.
	M63	Gets the element in the sixth row, third column.
	M64	Gets the element in the sixth row, fourth column.
	M65	Gets the element in the sixth row, fifth column.
	M66	Gets the element in the sixth row, sixth column.
	Undefined	Gets a Matrix6By6Symmetric representing an undefined matrix containing NaN values.
	Zero	Gets a Matrix6By6Symmetric representing the zero matrix.

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Methods

	Name	Description
	Add(Matrix6By6)	Adds a matrix to this matrix.
	Add(Matrix6By6Symmetric)	Adds a matrix to this matrix.
	DiagonalMatrix	Forms a diagonal matrix from the input elements.
	Equals(Matrix6By6Symmetric)	Indicates whether another instance of this type is exactly equal to this instance.
	Equals(Object)	Indicates whether another object is exactly equal to this instance. (Overrides ObjectEquals(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.
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.)
	FromLowerTriangular(Matrix6By6)	Forms a symmetric matrix from the lower triangular elements of the provided matrix.
	FromLowerTriangular(Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double)	Forms a symmetric matrix from the lower triangular elements.
	FromUpperTriangular(Matrix6By6)	Forms a symmetric matrix from the upper triangular elements of the provided matrix.
	FromUpperTriangular(Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double)	Forms a symmetric matrix from the upper triangular elements.
	GetHashCode	Returns a hash code for this instance, which is suitable for use in hashing algorithms and data structures like a hash table. (Overrides ObjectGetHashCode.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	Multiply(Double)	Multiplies this matrix by a scalar.
	Multiply(Matrix6By6)	Multiplies this matrix by a matrix.
	Multiply(Matrix6By6Symmetric)	Multiplies this matrix by a matrix.
	Subtract(Matrix6By6)	Subtracts a matrix from this matrix.
	Subtract(Matrix6By6Symmetric)	Subtracts a matrix from this matrix.
	ToString	Returns a string that represents the current object. (Inherited from Object.)
	Transpose	Transposes the matrix.

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Operators

	Name	Description
	Addition(Matrix6By6Symmetric, Matrix6By6)	Adds a matrix to this matrix.
	Addition(Matrix6By6Symmetric, Matrix6By6Symmetric)	Adds a matrix to this matrix.
	Equality	Returns if the two instances are exactly equal.
	Inequality	Returns if the two instances are not exactly equal.
	Multiply(Double, Matrix6By6Symmetric)	Multiplies a scalar by a matrix.
	Multiply(Matrix6By6Symmetric, Matrix6By6)	Multiplies the left matrix by the right matrix.
	Multiply(Matrix6By6Symmetric, Matrix6By6Symmetric)	Multiplies the left matrix by the right matrix.
	Multiply(Matrix6By6Symmetric, Double)	Multiplies a matrix by a scalar.
	Subtraction(Matrix6By6Symmetric, Matrix6By6)	Subtracts the second matrix from the first.
	Subtraction(Matrix6By6Symmetric, Matrix6By6Symmetric)	Subtracts the second matrix from the first.

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Reference

AGI.Foundation.Coordinates Namespace