A Matrix
with elements

for , 2, ..., . Although the Matrix Inverse is given analytically by

Hilbert matrices are difficult to invert numerically. The Determinants for the first few values of are given in the following table.

det( ) | |

1 | 1 |

2 | |

3 | |

4 | |

5 | |

6 |

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1999-05-25