CholeskyDecomposition<T>.GetDeterminant Method

Calculates the determinant of the factorized dense matrix.

Definition

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23
C#
public override T GetDeterminant()

Return Value

T
The determinant of the matrix.

Remarks

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.

For a Cholesky factorized matrix A = GTG, the determinant is the square of the product of the diagonal elements of G.

See Also