# Matrix3By3Symmetric Methods

The Matrix3By3Symmetric type exposes the following members.

Methods
NameDescription
Adds a matrix to this matrix.
Adds a matrix to this matrix.
Determinant
Calculates the determinant of the matrix.
DiagonalMatrix(Cartesian)
Forms a diagonal matrix from the input vector.
DiagonalMatrix(UnitCartesian)
Forms a diagonal matrix from the input unit vector.
DiagonalMatrix(Double, Double, Double)
Forms a diagonal matrix from the input elements.
EigenDecomposition
Determines the eigenvectors and eigenvalues of the matrix. The eigenvalues appear in ascending order (smallest to largest) down the diagonal of the Values matrix.
Equals(Matrix3By3)
Indicates whether another instance of this type is exactly equal to this instance.
Equals(Matrix3By3Symmetric)
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 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.
FrobeniusNorm
Computes the Frobenius norm of the matrix.
FrobeniusNormSquared
Computes the square of the Frobenius norm of the matrix.
FromLowerTriangular(Matrix3By3)
Forms a symmetric matrix from the lower triangular elements of the provided matrix.
FromLowerTriangular(Double, Double, Double, Double, Double, Double)
Forms a symmetric matrix from the lower triangular elements.
FromUpperTriangular(Matrix3By3)
Forms a symmetric matrix from the upper triangular elements of the provided matrix.
FromUpperTriangular(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 ValueTypeGetHashCode.)
GetType
Gets the Type of the current instance.
(Inherited from Object.)
Invert
Inverts the matrix.
Multiply(Cartesian)
Forms a new Cartesian vector as the product of this 3-by-3 matrix and the provided Cartesian vector.
Multiply(Double)
Multiplies this matrix by a scalar.
Multiply(Matrix3By3)
Multiplies this matrix by a matrix.
Multiply(Matrix3By3Symmetric)
Multiplies this matrix by a matrix.
Subtract(Matrix3By3)
Subtracts a matrix from this matrix.
Subtract(Matrix3By3Symmetric)
Subtracts a matrix from this matrix.
ToString
Returns the fully qualified type name of this instance.
(Inherited from ValueType.)
Transpose
Transposes the matrix.
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