Urgh. Chaos theory is a mess. I'm not sure I could get a good explanation in an essay format much less a story format.

Anyway, I'm inclined to think that we'd need to come up with a good math problem first and then build the story around that. So pick a matrix problem that's fun, then figure out what it answers. And given that it's the Scoobies, I don't suppose we have to be too realistic regarding the problem.