The two properties every linear transformation T: V -> W has to satisfy is(adsbygoogle = window.adsbygoogle || []).push({});

T(u + v) = T(u) + T(v), for u,v in V (i)

T(cu) = cT(u) for u in V and scalar c (ii)

I'm trying to find a transformation which satisfies (i) but doesn't satisfy (ii) [I've been able to find the opposite for what it's worth].

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# Finding a transformation

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