This paper introduces the concept of the resolution matrix as the basi
s for an objective theoretical comparison of distributed Linear invers
e solutions to the neuroelectromagnetic inverse problem. In particular
, we describe how figures of merit derived from the resolution matrice
s can be represented graphically to evaluate merits and shortcomings o
f the different solutions. The use of the figures of merit is illustra
ted with two solutions that consider minimal a priori information abou
t the generators: Classical Minimum Norm and Backus Gilbert. We recomm
end to start any analysis with the individual exploration of the resol
ution kernel for each grid point or at least for those points where th
e activity is likely to occur. This analysis might help in selecting t
he optimal inverse for the sources that are supposed to be active in t
he process under study.