12) For the 3 x 3 Vandermonde determinant show that, x² 1 x 1 a a² = (xa)(a - b)(b - x). 1 b b² a² = For what values of x is the determinant equal to 0?
12) For the 3 x 3 Vandermonde determinant show that, x² 1 x 1 a a² = (xa)(a - b)(b - x). 1 b b² a² = For what values of x is the determinant equal to 0?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 20EQ
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