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Emeril's question at Yahoo! Answers (invariant subspace).

Fernando Revilla

Well-known member
MHB Math Helper
Jan 29, 2012
661

Fernando Revilla

Well-known member
MHB Math Helper
Jan 29, 2012
661
Hello Emeril,

Follow the steps
\begin{aligned}
x\in T(V)&\Rightarrow \exists u\in V:x=T(u)\\&\Rightarrow T(x)=T(T(u))\\&\Rightarrow T(x)\in T(V)\\&\Rightarrow T(V)\mbox{ is } T\mbox{-invariant}
\end{aligned}