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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Proof of composite linear transformations

**Physics Forums | Science Articles, Homework Help, Discussion**