Question: If f, g are nonsingular linear functions, then so is their composition g f with (g f)-1 = f-1 g-1 The following

If f, g are nonsingular linear functions, then so is their composition g ∘ f with
(g ∘ f)-1 = f-1 ∘ g-1
The following converse of 3.14 is the linear version of the important implicit function theorem (theorem 4.5).

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