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    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?

    © BrainMass Inc. brainmass.com October 9, 2019, 4:06 pm ad1c9bdddf
    https://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.

    $2.19