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Any one measurement with polarized light makes it possible to fix the Muellermatrices of the Lorentz type with up to four arbitrary numeric parameters (x,u; z, w). These parameters are subject to the quadratic condition. It isdemonstrated that the quadratic form can be diagonalized; in the case ofpartially polarized light four diagonal coefficients turn out to benon-zero andpositive; in the case of completely polarized light two diagonal coefficientsequal to zero.

Transitivity in polarization optics and the diagonalization of quadratic forms