Question: Problems Groups 1. Define the following operation on R, axb = abt a+b. Show that a. * is commutative and associative b. Find the unit

Problems Groups 1. Define the following operation on R, axb = abt a+b. Show that a. * is commutative and associative b. Find the unit element with respect to * c. Find which elements of R have an inverse with respect to *. 2. Given the set 4 = 1 (20 8 ) 1aER ) 3. Given the set A = {x ER |-1

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