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SOLVED: Show thatdet(V) = ∏(xi - xj) for i ≠ j, where V is the Vandermonde matrix.It follows that V is nonsingular if xi ≠ xj for i ≠ j. [Hint: Apply to V the following sequence of elementary operations: Rn - 1 Rn, X1 Rn - 2 Rn, X[R2 R3], - X1 Rp R2]
SOLVED: Show thatdet(V) = ∏(xi - xj) for i ≠ j, where V is the Vande…
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