Determine which of the mappings that follow are bilinear forms. Justify your answers
Chapter 6, Problem 4(choose chapter or problem)
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 /, g G V, define H(f,g)= f f(t)g(t)dt. Jo (b) Let V be a vector space over F, and let J G B(V) be nonzero. Define 77: VxV^ F by 77(x, y) = [J(x, y)}2 for all x, y G V.
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