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The convergence criteria of the power series then apply, requiring <math>\Vert \eta A^{-1}B \Vert</math> to be sufficiently small under the appropriate matrix norm. For more general problems, which cannot be rewritten in such a way that the two matrices commute, the ordering of matrix products produced by repeated application of the Leibniz rule must be tracked.
=== Arbitrary function of a 2x2
An arbitrary function ''f(A)'' of a 2×2 matrix A has its [[Sylvester's formula]] simplify to
:<math>
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