Question: 3. Decide if the following statement is True or False: Let V and W be vector spaces, and let S, 7 : V - W

3. Decide if the following statement is True or False: Let V and W be vector spaces, and let S, 7 : V - W be linear transformations. The subset U - {x e V | Sx -Tx} 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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