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Let H- {hij) denote the n x n Hilbert matrix with entries hi,-1/(i +j-1). Write a Matlab code that sets up and returns the matrix

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Let H- {hij) denote the n x n Hilbert matrix with entries hi,-1/(i +j-1). Write a Matlab code that sets up and returns the matrix H. Use a double loop structure. You may first need to initialize H using the command zeros. Then use the backslash command to solve the system HX- B where B is the vector of all ones, for (a) n -2, (b) n 5 and (c) n 10. You may use the command ones

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