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Let T be defined on real two dimensional plain, and that:

(x,y)T = (ax+by, cx+dy) ; a, b, c, d real constants.

Prove that T is a vector space homomorphism. What value of

a, b, c, d will T be an isomorphic or isomorphism?

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Solution Summary

This is a proof regarding vector space homomorphisms.

Solution Preview

First, we show that T is a vector space homomorphism.
For any two vectors (x1,y1), (x2,y2) and real number r, we ...

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