Question: Define the inner product x , y = x T Wy for all x , y m , where W is

Define the inner product ⟨x,y⟩ = x^TWy for all x, y ∈ ℝ^m, where W is a symmetric positive definite matrix. Let A be any m × m matrix. Determine the adjoint A* (see Definition 2.11) with respect to the given inner product.

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