Assume as known that the Vandermonde determinant V D 1 1 1

Chapter , Problem 34

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Assume as known that the Vandermonde determinant V D 1 1 1 r1 r2 rn r2 1 r2 2 r2 n : : : : : : : : : rn1 1 rn1 2 rn1 n is nonzero if the numbers r1; r2;:::;rn are distinct. Prove by the method of that the functions fi.x/ D exp.rix/; 1 5 i 5 n are linearly independent. 35. Accordin

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