Question: (1, Td)is defined as: For a function f: Rd -> R, its Hessian matrix at For a function f: Rd R, its Hessian matrix at

(1, Td)is defined as: For a function f: Rd -> R, its Hessian matrix at

For a function f : Rd ? R, its Hessian matrix at x = (x1, . . . ,xd) is defined as 2 Use the notation in the matrix calculus handout and prove that

For a function f: Rd R, its Hessian matrix at x = (x,...,xa) is defined as: 8 f(x) x1 a f(x) xd x H a f(x) 1???? Use the notation in the matrix calculus handout and prove that T H = a f(x) x dx (x) x

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