Question: 3. Decide if the following statement is True or False: Let V be a vector space over a field F, and let S,T e C(V)

3. Decide if the following statement is True or False: Let V be a vector space over a field F, and let S,T e C(V) be such that ST = TS. For any A E F, ker(S - XI) is T-invariant. Indicate your final answer by filling in exactly one circle below (unfilled O filled .) and justify your choice with a proof or counter-example. [4 marks] O True O False

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