## Question

###### [Extra Credit] Prove the following statement: If T Ã¢â€šÂ¬ L(V) and dim(T(V)) 1, then T2 aT for some a Ã¢â€šÂ¬ R (in other words, for all v Ã¢â€šÂ¬ V we have T2 (v) aT(v) for some fixed real number a)

[Extra Credit] Prove the following statement: If T Ã¢â€šÂ¬ L(V) and dim(T(V)) 1, then T2 aT for some a Ã¢â€šÂ¬ R (in other words, for all v Ã¢â€šÂ¬ V we have T2 (v) aT(v) for some fixed real number a)

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