Thanks for the reply, this is a lot of help.
I made a schematic in Fritzing, which I'll post below, and I'm wondering if I followed your instructions correctly:
Full size: http://i.imgur.com/1rl68.jpg
Couple notes on that
• The 9V battery was all I could find for a power supply. Obviously I'd use the wall power source I posted above, which I'm assuming has two wires coming off of it instead of the one I can see (is this correct?).
• I used a motor for the strike since there was no strike in the application
Is this correct? Also, what would I do with the fingerprint scanner, as it also needs to connect to the ground of the Arduino, just connect it to the ground on top of this one?