Given numbers x 0 , x 1 , . . . ,x n- 1 , prove that
Question:
Given numbers x0, x1, . . . ,xn-1, prove that the determinant of the Vandermonde matrix
is
Multiply column i by – x0 and add it to column i + 1 for i = n – 1, n – 2, . . . ,1, and then use induction.
Transcribed Image Text:
det(V(xo, X1, ...,Xn-1)) = | к — х,) П 0
det(V(xo, X1, ...,Xn-1)) = | к — х,) П 0
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To prove the given statement lets use mathematical induction For n 2 we have the Vandermonde matrix ...View the full answer
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Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
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