2) Let V₁, V2, W be vector spaces over F. Show that the set Bil(V₁ x V₂, W) of bilinear maps is a vector space under point-wise addition/scalar multiplication (ie: given f, g bilinear define f+g to be (f+g)(v₁, 2) = f(v₁, ₂) + 9(v₁, v2) and similarly for scalar multiplication)

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