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Posted: **Sun Jul 10, 2022 10:52 am**

: Decide If The Following Statements Are True Or False Write A Proof For The True Ones And Provide A Counter Example For 1 (61.41 KiB) Viewed 44 times

Decide if the following statements are TRUE or FALSE. Write a proof for the true ones and provide a counter-example for the rest. Let V be a finite-dimensional vector space. Then a linear operator T: V→ V has a cyclic vector if and only if T2 has a cyclic vector.