The inverter in the first gen is only rated at 100W, which is enough for some things. I needed an inverter for a non-Vibe, bought a 400W one for $30 from Walmart.
However, if you want to reuse a Vibe/Matrix one, here is a PDF of the wiring diagram for the first gen inverter, from a 03 Matrix manual. Don't know what kind of connector you need
I have about five of these with the connector, I just cut the wire so I had four or five inches to work with. I'd love to find an actual pinout for each wire to know what they do... Graham kind of helps but I I'm still behind the 8-ball. If I have have them I should use them I figured