How to find this Linear transformation?
IF given that $$T:V_3\rightarrow V_3$$ Such that $T(0,1,2)=T(3,1,2)$ and
$T(1,1,1)=T(2,2,2,)$
Find the Linear Transformation $T$
Do i first need to add a Linearly Independent vector to the set
$S={(0,1,2),(1,1,1)}$ to find the basis ? and after that show the new set
$S'$ as Basis of $V_3$ and then proceed in usual manner ?
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