Question 2 (10 points) Show that the set R2 with operations defined as u + v = (2u1 + 2v1, 2u2 +202) and cu = (cu₂, cu1)

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Question 2 10 Points Show That The Set R2 With Operations Defined As U V 2u1 2v1 2u2 202 And Cu Cu Cu1 1 (26.99 KiB) Viewed 35 times

Question 2 (10 points) Show that the set R2 with operations defined as u + v = (2u1 + 2v1, 2u2 +202) and cu = (cu₂, cu1), where U= (u₁, U2), v= (V1, V2). is not a vector space. Identify at least one axiom which fails. In your answer below, just give the number of an axiom which fails. In your work, give a specific example or a general argument to show that the axiom fails.