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4. (8 points) Calculate the gradient and Hessian matrix of the following functions and find the argming of each function. You can use any results

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4. (8 points) Calculate the gradient and Hessian matrix of the following functions and find the argming of each function. You can use any results in the lecture notes. (1) Let A c Rox" be a symmetric matrix, and be R". Suppose A + 2/ is positive definitive. Let J(0) = 05 10 - 60 + 2010+3. (2) Let J(0) = 07 + 20102 + 503 -401 -802 + 10

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