Mine began having the exact same problem two days before I read your post so I was very interested in finding the solution. With my SSR, the radio would look like it was on, but if you tried to change the volume either with the knob or the steering wheel switch, the bar display would not show up on the radio display.
I think that means the amplifier is not coming on. I checked the radio and amp fuse...no problems. The amplifier is located under the passenger seat and I remember seeing a post a while back about the wires coming loose if you put stuff under the seat. So I tried jiggling the wires to see if there was a loose contact to the amp. No effect.
However, when I left work today the radio mysteriously started working again. I don't know if the jiggling helped, but it couldn't hurt. My experience says that you should jiggle the wires, wait 13hrs, and the problem will disappear. (who knows, that might be the approved GM procedure that will cost $140 at the dealer)
Texster68