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In this paper, the theory associated with a noniterative and broad-band method for measuring the permeability tensor components μ=μ'-jμ'' and κ=κ'-jκ'' is extended in order to simultaneously determine the test sample-relative permittivity ε=ε'-jε''. The error sources of the method are equally presented and quantified. Detailed theoretical and experimental studies are performed to estimate the errors in the determination of μ, κ, and ε due to the quasi-static approximation for their calculation, as well as the uncertainty in the measured S-parameters of the test cell and samples length. These define the frequency-validity domain of the method.