4. Determine which of the mappings that follow are bilinear forms. Justify your answers.a) Let V = C[0, 1] be the space of continuous real-valued functions on the closed interval [0, 1]. For f, g ∈ V, defineH(f, g) = ∫f(t)g(t)dtb) Let V be a vector space over F, and let J ∈ B(V) be nonzero. Define H: V x V → F byH(x, y) = [J(x,y)]² for all x, y ∈ V.c) Define H: R x R → R by H(t₁, t₂) = t₁ 2t₂. Consider the vectors of R² as column vectors, and let H: R² → R be the function defined by H(x, y) =
4. Determine which of the mappings that follow are bilinear forms. Just…
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(a) Show that a general bilinear transformation can be written ... | Filo
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