Question: solve TEST # 2 Problem # 1 let U be the set of all odened pairs of real numbers U = ( U . ,

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TEST # 2 Problem # 1 let U be the set of all odened pairs of real numbers U = ( U . , U2 ) V= ( v., v2 ) Addition is defined as follow . U + V = ( u , + v , + 1 , M 2 + V2 + 1 ) KU = Ku. Kuz ) a) compute utv and ku for U= (0 . 4 ) . V= ( 1 , - 3 ) . K = 2 b) show that (0, 0 ) + 0 0 is identity vector . ( ) show that ( - 1 , -1 ) = 0 d) let a: ( x. ") Find a vector b such that atb= 0

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