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    Hilbert matrices

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    Please see the attached file.

    Solve the system of equations. Use Gaussian elimination.

    Find the Doolittle LU decomposition of H5 with scaled partial pivoting.

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    Solution Preview

    Here are the MAPLE procedures that solve this assignment.

    In the first file Gauss_Elim-final we solve the Gaussian elimination problem of the Hilbert matrices.

    The main procedure there is the algorithm you supplied, so I didn't comment in the procedure itself.

    The file LU-final solves the Doolittle LU decomposition problem.

    Since the Doolittle algorithm results in an upper triangular ...

    Solution Summary

    The solution shows how to work with Hilbert matrices to solve a system of equations using Gaussian elimination and to find the Doolittle LU decomposition with scaled partial pivoting.