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Problem 3: Let H = and = {[a b] | a,b,d R and ad : 0} {b K = {} |DER} b] (a) Determine

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Problem 3: Let H = and = {[a b] | a,b,d R and ad : 0} {b K = {} |DER} b] (a) Determine if H is a normal subgroup of GL(2, R). (b) Determine if K is a normal subgroup of H. (c) Determine if K is a normal subgroup of GL(2, R).

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