You wouldn`t know the size of your mirrors......what is infinity?????????
Someone could always double it.
Anyway, if you were invisible what could be reflected?
You would see a series of mirrors disappearing off into the distance. Because the glass of the mirrors would not be 100% clear, the image would become darker and darker. You can do this to some extent for yourself with two mirrors (but you do tend to get in the way!) so the series of reflected images tends to curve off to one side because you need to see round yourself.
Have I understood properly what you were asking?
A mirror only reflects LIGHT, thereby producing an image. In your scenario, there would be no light and therefore no image - you wouldn't even see the mirrors.
Every time light reflects off a mirror, you lose a tiny bit of energy. This means that, because of the immense speed of light, pretty much instantly you would end up with darkness.
Well heres another...
If you were inside a large sphere. mirror coated so you could see yourself. if you had gravity you would see a blur around you, and yourself fully relected at the top.? (maybe) but in zero gravity floating in the middle what would you see then?
Yourself streched around the inside surface?
Or if its like looking into a spoon does your reflection follow your gaze as you look around?