What's the power supply model?
It does sound like the card might have died on you but is there any way you can try a different card installed in the same slot? Can be anything, just for troubleshooting purposes. When you say that the computer turns off are you referring to just the monitor or does the whole computer shut itself down. If that were the case, I would inspect the card for signs of dust buildup or a failed cooling fan. Do you know if the card has twin BIOS; if possible, could you try switching it on the PCB itself?
I don't have anything else I can put into the PCIE slot to try it out.
What I meant was my monitor shows no cable plugged in till I plug in my card, then it goes to no signal and goes into standby mode.
My power supply is a Corsair CX750M 750 WATT.
I have no idea what twin bios is but there is this tiny switch on it that I tried flipping and nothing changed.
After trying a few things I dusted everything in the tower and dusted the card itself. All fans on the card are spinning normally.
The small switch on the card is the toggle between the BIOS... you can think of it as a fail safe just in case one of the BIOS gets a bad flash or becomes corrupted.
I think we can rule out the monitor and cables but I'd suggest double-checking the PCIe power connections and make sure that you aren't daisy-chaining any of the connectors. In other words, if you can use separate runs from the power supply to the GPU try that. I recently ran into an issue where a power supply was powering a card just fine but then started giving me issues because one of the ends actually fried over time.
There's not a whole lot more we can try if the card still fails to display any video, unfortunately. Did you try the DisplayPort out on the card by any chance? It shouldn't make a difference but you could at least try a DP connection, if your monitor supports it.