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?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text: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?
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