For a certain transformation T, it is known that [itex] T(x+y) = T(x) + T(y) [/itex](adsbygoogle = window.adsbygoogle || []).push({});

It is required to determine whether this transformation is linear. Obviously it is not, since it need not satisfy the degree-1 homogeneity property of all linear maps.

I'm just having trouble cooking up the counterexample. Any ideas? Thanks!

BiP

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# Proving a transformation is not linear

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