I don't know if it's something to do with the GPU.
I tried booting it up with one RAM card, and Windows started up normally and ran the repair program. Everything looked good so I turned it off, put in the RAM card I took out, and booted it up again. Everything seemed to be working fine until it just randomly shut down/crashed a few hours later.
I started it back up again and ran the Memory Diagnostic Program, only 2% in and it said that there was a hardware error, but it shut down/crashed again before it could finish the diagnostic.
So yeah, now my PC is just sitting here too.
Ok, so I was drinking heavily last week and was inspired to try and fix this thing. Somehow, I missed this post.
Tried uninstalling and deleting the display driver and the catalyst control centre and doing a fresh install of the drivers?
This was the key. Do a complete uninstall of your drivers. Like, really complete. I followed this guide. If you have an Nvidia card, this guide will help you. Give it a shot and see if it works.