# Isomorphism

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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?

Â© BrainMass Inc. brainmass.com November 30, 2021, 12:08 am ad1c9bdddfhttps://brainmass.com/math/linear-transformation/vector-space-isomorphism-22638

#### 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 ...

#### Solution Summary

This is a proof regarding vector space homomorphisms.

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