Let [tex]g(x)\in F[x][/tex], [tex]T\in L(V)[/tex]. Let [tex]F[T][/tex] be a ring generated by [tex]g(T)[/tex]. Show that if [tex]g(T)[/tex] is invertible, then [tex]g^{-1}(T)\in F[T][/tex].(adsbygoogle = window.adsbygoogle || []).push({});

No idea what do do.

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# Homework Help: Ring and Linear Transformation

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