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    Determinant of the Van der Monde Matrix

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    The Vandermonde matrix is defined the following way. Suppose x1,x2,...xn are n numbers. Form the nxn matrix:

    A=(1 x1 x1^2 ... x1^(n-1) )
    (1 x2 x2^2 ... x2^(n-1) )
    (... )
    (1 xn xn^2 ... xn^(n-1) )

    Find determinant A.

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    https://brainmass.com/math/matrices/determinant-van-der-monde-matrix-11653

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    The Vandermonde matrix is defined the following way. Suppose x1,x2,...xn are n numbers. Form the nxn matrix

    A=(1 x1 x1^2 ... x1^(n-1) )
    (1 x2 x2^2 ... x2^(n-1) )
    (... )
    (1 xn xn^2 ... ...

    Solution Summary

    The determinant of the Van der Monde matrix is found. The solution is detailed and well presented.

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