Prove that if [tex]T:R^{m} \rightarrow R^{n}[/tex] and [tex]U:R^{n} \rightarrow R^{p}[/tex] are linear transformations that are both onto, then [tex]UT:R^{n} \rightarrow R^{p}[/tex] is also onto.(adsbygoogle = window.adsbygoogle || []).push({});

Can anyone point me in the right direction? Is there a theorem that I can pull out of the def'n of onto that I can begin this proof?

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# Proof of composite linear transformations

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