Exact parametrization of the mass matrices and the KM matrix

We analyze properties of general quark mass matrices. The up and down part quark mass matrices are written in terms of six dimensionless parameters and six quark masses. It is shown that two of the former six dimensionless parameters can be chosen to be any value. Our results are given without any approximation and assumption. And we find the relations between the parameters to fit experimental data of the KM matrix, numerically. These relations may be useful for finding the theory which generates the mass matrices.