Determinant of a Matrix from Eigenvalue Decomposition

DESCRIPTION:
Computes the determinant (or its logarithm) of a Matrix from its eigenvalue decomposition.

USAGE:
det.eigen.Matrix(x, logarithm=T)

REQUIRED ARGUMENTS:
x:
an object of class "eigen.Matrix" representing the eigenvalue decomposition of a Matrix.

OPTIONAL ARGUMENTS:
logarithm:
a logical variable indicating whether or not the logarithm of the modulus of the determinant should be returned rather than the determinant itself. The default is to return the logarithm.

VALUE:
returns an object of class "det".

REFERENCES:
Golub, G., and Van Loan, C. F. (1989). Matrix Computations, 2nd edition, Johns Hopkins, Baltimore.

SEE ALSO:
det.object , det.Hermitian , det.lu.Hermitian .

EXAMPLES:
x <- Matrix( sample(-3:3, size = 9, replace = T), nrow = 3, ncol = 3)
det(eigen(x))