Attempt to fly the aircraft upside-down? 

There's one sentence that seems to lack support: At one point, unable to raise the nose, they attempted to fly the aircraft "upside-down".

This implies that the pilots deliberately tried to invert the plane, or at least keep it inverted after an unintended roll. Certainly the aircraft was inverted. But there doesn't seem to be any evidence that the inversion was deliberate. The CVR transcript (which is the only reference cited by this sentence) seems consistent with the notion that the inversion was unintended and that the pilots were trying to right the aircraft.

So unless anyone knows of any citable source saying that the inversion was deliberate, I think this sentence should be changed. Especially because it can be confused with the movie Flight, where, in a similar situation, the pilots do deliberately attempt to invert the aircraft.