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17. Let V = {(a1, a2) : a1, 02 ( F}, where F is a field. Define addition of elements of V coordinatewise, and for

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17. Let V = {(a1, a2) : a1, 02 ( F}, where F is a field. Define addition of elements of V coordinatewise, and for c E F and (a1, a2) E V, define c(a1, a2) = (a1, 0). Is V a vector space over F with these operations? Justify your

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