Question: kindly need this solution 2. Let V be the set of all ordered pairs of real numbers, and consider the following addition and scalar multiplication

kindly need this solution

kindly need this solution 2. Let V be the set of
2. Let V be the set of all ordered pairs of real numbers, and consider the following addition and scalar multiplication op- erations on u = (81, #2) and v = (v1, v2): utv = (wit u + 1, #2 + 2 + 1). ku = (ku, kuz) (a) Compute u + v and ku for u - (0. 4). v = (1, -3), and * = 2. (b) Show that (0, 0) # 0. (c) Show that (-1, -1) = 0. (d) Show that Axiom 5 holds by producing an ordered pair -u such that u + (-u) - 0for u - (#1, #2). (e) Find two vector space axioms that fail to hold

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