Recent innovations in the differential calculus for functions of non-commutingvariables, begun for a quaternionic variable, are readily extended to the case of a general Cliffordalgebra and then extended more to the case of a variable that is a general square matrix overthe complex numbers. The expansion of F(x+delta) is given to first order in delta for generalmatrix variables x and delta that do not commute with each other. Further extension leads tothe broader study of commutators with functions, [y, f(x)] , expressed in terms of [y, x].
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