Question: Tr, is isomorphic to RnThis week we have given a full and detailed proof of the following theorem: Theorem: Every f E Isom (R) is

Tr, is isomorphic to RnThis week we have given a full and detailed proof of the following theorem: Theorem: Every f E Isom (R") is of the form f (x) = Ax + b, where A E On (R) and b E Rn. Fix z ( R" and consider the map fz : R" -> R" given by fz(x) = x + z. Let Trn := {fz/z ER"]. Show the following

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