Question: Let V be a finite-dimensional vector space and T, S : V V linear. Show that S = T-1 if and only if To

Let V be a finite-dimensional vector space and T, S : V

Let V be a finite-dimensional vector space and T, S : V V linear. Show that S = T-1 if and only if To S(x) = x for all x E V. Hint: show that (SoT)2 = SoT.

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