SingularValueDecomposition<T>.GetDeterminant Method

public override T GetDeterminant()

Public Overrides Function GetDeterminant As T

public:
virtual T GetDeterminant() override

abstract GetDeterminant : unit -> 'T 
override GetDeterminant : unit -> 'T 

Return Value

A system of simultaneous linear equations has a unique solution if its determinant is not equal to zero.

Determinants are only defined for square matrices. If the matrix is not square, an exception of type DimensionMismatchException is thrown.

For a singular value decomposition A = USV^T, the magnitude of the determinant is the product of the diagonal elements of S. Since U and V are orthogonal, their determinant is 1 or -1. This means that only the magnitude of the determinant is known, not its sign.

Reference