Question: Problem 6 Set V = {[7 ] E R2, xy 2 0} and let us endow it with the usual sum and scaling of vectors

Problem 6 Set V = {[7 ] E R2, xy 2 0} and let us endow it with the usual sum and scaling of vectors coming from R2. (1) If u is in V and A is any real number, show that Au is in V. (2) Find specific vectors u and u in V such that u + 3 is not in V. (3) Is V a vector subspace of R2? (justify your answer)

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