We have measured the transverse asymmetry A(T') in (3)(H) over right arrow
e((e) over right arrow, e') quasielastic scattering in Hall A at Jefferson
Laboratory with high precision for e values from 0.1 to 0.6 (GeV/c)(2). The
neutron magnetic form factor G(M)(n) was extracted based on Faddeev calcul
ations for Q(2) = 0.1 and 0.2 (GeV/c)(2) with an experimental uncertainty o
f less than 2%.