Question: Problem 5 Set V = {[; ] E R2, x 2 0, 1 2 0} and let us endow it with the usual sum and

Problem 5 Set V = {[; ] E R2, x 2 0, 1 2 0} and let us endow it with the usual sum and scaling of vectors coming from R. (1) If u and u are in V, show that u + U is in V. (2) Find a specific u in V and a specific scalar A in R such that Au is not in V. (3) Is V a vector subspace of R2? (justify your answer)

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