Dummit and Foote Section 15.1, Exercise 24 reads as follows:

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Let .

Prove that V is isomorphic to

and provide an explicit isomorphism and associated k-algebra isomorphism from to along with their inverses.

Is isomorphic to ?

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I would appreciate some help and guidance with getting started with this exercise [I suspect I might need considerable guidance! :-( ]

Some of the background and definitions are given in the attachment.

Peter