Let S:V --> W and T:U --> V be linear transformations. Prove that(adsbygoogle = window.adsbygoogle || []).push({});

a) if S(T) is one-to-one, then T is one-to-one

b) if S(T) is onto, then S is onto

This makes intuitive sense to me, since S(T) maps U to W, but I can't figure out how to go about proving this.

I would appreciate any help at all. Thank you.

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# Homework Help: Transformations proof

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