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Advanced MathQ&A LibraryLet T be a linear operator on a real inner product space V, and define H: V x V → R by H(x, y) = for all x, y e V.(a) Prove that H is a bilinear form.(b) Prove that H is symmetric if and only if T is self-adjoint.(c) What properties must T have for H to be an inner product on V?(d) Explain why H may fail to be a bilinear form if V is a complex inner product space.Question

Asked Mar 4, 2020

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