The Collaborative International Dictionary
Algebraically
Algebraically \Al`ge*bra"ic*al*ly\, adv. By algebraic process.
Wiktionary
algebraically
adv. Using algebra.
WordNet
algebraically
adv. in an algebraic manner; "algebraically determined"
Usage examples of "algebraically".
In both cases, the rotations could be treated algebraically, and the traditional way to get a handle on this was to make use of a set of matrices of complex numbers whose relationships mimicked the algebra in question.