Um, usually when people use "bridging" with amplifiers, they're talking about combining two amplifier channels to produce one amplified signal -- for example, a 2-channel, 100 watt/channel amplifier bridged into a 1-channel amplifier, somewhere close to 200watts.
I'm curious as to how you mean 10.2. Do you mean sort of "double decoding" to take a 5.1 signal and generate a 10.2 signal?
This would be similar to taking each "stereo pair" and running it through a Dolby ProLogic decoder. With the way films are currently being made, I wouldn't recommend doing it to the front/center pairings -- there's too much difference there for a clean separation (since often times ONLY the voices are in the center.) And doing the front mains to produce a "center" for the front soundfield is, well, possible, but...
Likewise, my understanding is that so-called 7.1 systems are already doing something like this for the rear pairing.
You could, in theory, also do a front-left and rear-left, to simulate a side-left, and likewise on the right. And, for insanity, the "surround" bring on the right (for the lefts.) But this works on the assumption that the sound engineers and designers were doing any phase-encoding between the various pairings. They might, but probably "not really."
Also, from what I recall, running a DPL-type decoding, one looses a tremendous amount of seperation between channels. My recollection of the numbers was that at-best, a ProLogic "center" or "surround" was only about 30dB off of the mains it came from, meaning quite a lot of correlation, and a general "blurring" of the existing soundfield. With conventional stereo, this wasn't always a bad thing, particularly if you had more than one person, and/or not sitting in the "sweet-spot."
In other words, while what I think you're talking about is possible, I can't say it's likely to be successful.
Of course, I could have entirely misinterpreted what you're asking, in which case...
Leo Kerr