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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)

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Solution Summary

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

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