Question: Please help with this question 1. Decide if the following statement is True or False: Let o = v1, V2, v3 be a basis for

Please help with this question

1. Decide if the following statement is True or False: Let o = v1, V2, v3 be a basis for a vector space V over C, and let TE C(V) be defined by 1 O [T]& = 0 Let W be the set of vectors x E V that satisfy (T - 3/)2x = 0 but (T - 3/)x / 0, together with the zero vector. Then W is a subspace of V. 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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