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3. Consider f(x, y) = ax? +xy ty. a. Assume that a > 0. Rewrite f(x, y) by using matrices and then determine its defi-

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3. Consider f(x, y) = ax? +xy ty. a. Assume that a > 0. Rewrite f(x, y) by using matrices and then determine its defi- niteness for all possible cases. b. Show that the Hessian matrix of f(x, y), H = $11 $12 fill can also determine the J 21 J 22 definiteness of this quadratic form f

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