Consider the 3 Ã 3 Vandermonde matrix (a) Show that det(V) = (x2 - x1)(x3 - x1)(x3

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Consider the 3 Ã— 3 Vandermonde matrix

(a) Show that det(V) = (x2 - x1)(x3 - x1)(x3 - x2).
(b) What conditions must the scalars x1, x2, x3 satisfy in order for V to be nonsingular?

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Linear Algebra with Applications

ISBN: 978-0131857858

7th edition

Authors: Steven J. Leon

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Question Posted: Jun 13, 2016 12:48 AM

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Consider the 3 Ã 3 Vandermonde matrix (a) Show that det(V) = (x2 - x1)(x3 - x1)(x3

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21 22 23

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a Row operation III has no effect on the value of the determinant Thus and hence det...View the full answer

Linear Algebra with Applications

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