  We present new radio and X-ray observations of two nearby ($< 4$ Mpc)
low-mass early-type galaxies with dynamically-confirmed central black holes:
NGC 5102 and NGC 205. NGC 5102 shows a weak nuclear X-ray source and has no
core radio emission. However, for the first time we demonstrate that it shows
luminous extended radio continuum emission in low-resolution, low-frequency ($<
3$ GHz) data, consistent with jet lobes on scales $\gtrsim 100$ pc formed from
past accretion and jet activity. By contrast, in new, extremely deep,
strictly-simultaneous Very Large Array and Chandra observations, no radio or
X-ray emission is detected from the black hole in NGC 205. We consider these
measurements and upper limits in the context of the few other low-mass
early-type galaxies with dynamically-confirmed black holes, and show that the
mean ratio of bolometric to Eddington luminosity in this sample is only
$\textrm{log} \, (L_{\rm bol}/L_{\rm Edd}) = -6.57\pm0.50$. These Eddington
ratios are lower than typical in a comparison sample of more massive early-type
galaxies, though this conclusion is quite tentative due to our small sample of
low-mass galaxies and potential biases in the comparison sample. This
preliminary result is in mild tension with previous work using less sensitive
observations of more distant galaxies, which predict higher X-ray luminosities
than we observe for low-mass galaxies. If it is confirmed that central black
holes in low-mass galaxies typically have low Eddington ratios, this presents a
challenge to measuring the occupation fraction of central black holes with
standard optical emission line, X-ray, or radio surveys.
