Question: a) (5 points) Let W be a vector space over R, and let we W be such that w + w = 0. Prove that

a) (5 points) Let W be a vector space over R, and let we W be such that w + w = 0. Prove that w = 0. b) (5 points) Let V and W be vector spaces over R, and let T : V - W be a linear map. Suppose DE V is a vector such that T() + T() = 0w. Prove that DE Nul(T)

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