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Isomorphisms and eigenvalues

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True or false? Justify your answer in each case (giving a proof or a counterexample):

Let T:V-->W be a linear transformation which is an isomorphism. Denote its inverse by T-1 . Suppose that (SYMBOL) is an eigenvalue of T. Then answer a, b, c and d.

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Solution Summary

This is a proof regarding isomorphisms and inverses. Linear transformation for isomorphism is denoted.

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Answer:
(a) True
(b) False
(c) False
(d) False

It is simple to show that (b), (c) and (d) are ...

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