# 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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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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