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    Convex Sets and Linear Transformations

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    Prove that the following sets are convex, where E stands for the sum symbol:

    *S = {x E R^n : x = Ay, A E R^(n x m), y E R^m, y >= 0}

    © BrainMass Inc. brainmass.com October 9, 2019, 8:19 pm ad1c9bdddf
    https://brainmass.com/math/linear-transformation/convex-sets-and-linear-transformations-147026

    Solution Preview

    "A" is a linear transformation.
    A linear transformation transforms a straight line into ...

    Solution Summary

    This solution looks at the properties that make convex sets.

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