Question: Let W = y : xyso. a) Give an example of two vectors in W and one vector not in W. b) Give an example

Let W = y : xyso. a) Give an example of two vectors in W and one vector not in W. b) Give an example of two vectors u and v that are in W, where u + v is not in W. (This proves that W is not closed under addition.) c) Is W closed under scalar multiplication? (That is, if v is any vector in W and c is any number, is it guaranteed that the product cy is in W?) Justify your answer. d) Is O in W

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