So, I'm kind of stuck on figuring out how to decompose a Mobius Transformation. I know how it's supposed to end up: three dilation rotations, and one inversion. And I even know the exact formulas for all of them - they're given. And I can even say that it makes

**sense**that there ought to be an inversion and some rotations making up the Mobius Transformation. But I can't seem to derive the decomposition. I've tried going backwards, from the given decomposition to the transformation, but even that failed: I ended up in a bizarre thicket of thorny and foul algebra, which didn't look right. Grr. I suspect I fucked up in applying the transformations successively, though - wasn't paying enough attention. So I'll need to try again. Sigh. So it goes.

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