MATLAB CODE

2) Let H- [hij) denote the n x n Hilbert matrix with entries hij 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. What do you observe as n increases