The reason it is so effective for this role is because a matrix mixer can route multiple inputs to multiple outputs, meaning that with correct wiring feedback loops can be created, but it doesn't end there because each loop can be fed into any off the other inputs you start to create more complex paths and likewise the complexity of the sound.
The above image is one of the clearest examples I could find of a matrix mixer, showing inputs and outputs perpendicular to each other rather than parallel. This makes it easier to understand the signal as it flows along from the right of the mixer then is routed by the knobs downwards and to the outputs.
A matrix mixer will be a good addition to a room acoustics based feedback piece because, as a result of the available signal routing it will be possible to route one microphone to any of four speakers. By doing this instead of one signal path and thus one set of room resonances being available per microphone there are now four for each microphone greatly meaning that some complex tones should be created.

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