Please DO NEVER try this - neither at home nor at work!
Any trial to bridge the 10.1 (or any other amp using Tripath chips) puts you at risk to burn the unit immediately!
A short-circuit protection might not preserve you from this because it protects the unit when shortening the two poles of one(!) output or unvoluntarily contacting ground. It does not necessarily mean any protection when connecting any pole of one output to that of another channel.
Reason:
Tripath chips as used in the TA-10.1 (TA2024 and similiar) are (internally) already working in bridged mode. You can't easily bridge an already bridged amp once more!
This is, too, why the positive and negative pole of a TA-10.1's output must never(!) have any connection to the circuit's/case's ground.
As rule of thumb for you:
Any amplifier where negative out is NOT common with the circuit's/supply's ground will most likely NOT be bridgeable.
As bridging amplifiers means that the maximum current (to the same load) might be up to four times(!) the current in unbridged mode, this requires an output stage capable to handle this - and the higher heat dissipation resulting from that as well.
The maximum output power of each Tripath chip amp (and thereby the ability to dissipate the resulting heat) is limited by design.
More power will always need another Tripath chip or leaving the range of Tripath's products for amps based on completely other components.
If you really need more power please look around to find other amps working with additional/external MOS-FET's and higher supply voltages. Propably you'll end up with a product not using a Tripath chip - depending on the power you'll find sufficient for your purposes.