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I'm not sure about where I should post this question, so sorry in advance if I posted it in the wrong place.

My question is basically this screenshot. So I really have some difficulty in understanding the two equations. I mean how can it not be equal? I understand that rotations are non-commutative, but I really don't see why mathematically these two lines are not equal. Doesn't that violate the properties of matrix exponentials?

Thanks!!!

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# I Finite and infinitesimal Rotations

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