Question: Show that for a fixed v R n the map T v such that T v ( x ) = v x belongs to the

Show that for a fixed vRn the map Tv such that Tv(x)=vx belongs to the dual space of Rn (i.e. is a real valued map on Rn).

Now prove that the map on Rn given by (v)=Tv is an isomorphism from Rn to Rn.

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