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# [Extra Credit] Prove the following statement: If T ├óŌĆÜ┬¼ L(V) and dim(T(V)) 1, then T2 aT for some a ├óŌĆÜ┬¼ R (in other words, for all v ├óŌĆÜ┬¼ V we have T2 (v)...

## Question

###### [Extra Credit] Prove the following statement: If T ├óŌĆÜ┬¼ L(V) and dim(T(V)) 1, then T2 aT for some a ├óŌĆÜ┬¼ R (in other words, for all v ├óŌĆÜ┬¼ V we have T2 (v) aT(v) for some fixed real number a)

[Extra Credit] Prove the following statement: If T ├óŌĆÜ┬¼ L(V) and dim(T(V)) 1, then T2 aT for some a ├óŌĆÜ┬¼ R (in other words, for all v ├óŌĆÜ┬¼ V we have T2 (v) aT(v) for some fixed real number a)  #### Similar Solved Questions

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