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    Linear transformations

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    Determine whether the following are linear transformations from C[0,1] into R^1.
    L(f) = |f(0)|

    L(f) = [f(0) + f(1)]/2

    L(f) = {integral from 0 to 1 of [f(x)]^2 dx}^(1/2)

    Thanks so much. :)

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    Solution Summary

    This shows how to determine if given transformations fit given characteristics.