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Given β = XT1xn Anxn Xnx1, show that the gradient of β with respect to X...

Given β = XT1xn Anxn Xnx1, show that the gradient of β with respect to X has the following form: ∇β = XT(A + AT ). Also, simplify the above result when A is symmetric. (Hint: β can be written as Enj=1 Eni=1 (summation of i and j from 1 to n) Aij xi xj )

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