Question: If U and V are vector spaces, define the Cartesian product of U and V to be U X V = {(u, v): u is

If U and V are vector spaces, define the Cartesian product of U and V to be
U X V = {(u, v): u is in U and v is in V}
Prove that U × V is a vector space.

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We verify all ten axioms of a vector space Note that both U and V are vector spaces so they satisfy ... View full answer

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