Question

Prove that the sets u ⊕v = {u + v : u ∈u,v∈v}and uθv = {u − v : u∈u,v∈v} are homometric for any two sets u and v.

Answer 1

UV VV = 82-3/4

JDxHG

Explanation:

Answer 2

given that set,

U⊕V ={u+v : u∈v,v∈v}

UΘV ={u-v : u∈v,v∈v}

clearly the given set are objection and linearity indefenten y,

f and f-1 are continuous,