The 12 volt outlet on the panel with the antenna connector is only good for a few watts. A "map light" to help you read a TV guide might work but a 100 watt inverter is too much for it to be happy with
As others have said get a small TRUE SINE inverter (or a bit one) and install it near the batteries (one compartment over. not in the same air space) using heavy cable. For a 300-500 Standard starter cable is good.
RUn a dedicated extension cord from there to the TV and plug in.. YOu may even be able to do that WITHOUT DRILLING HOLES. as many holes already exist.
