Explain why this Vandermonde determinant contains x 3 but not x 4 or x 5 : V4 = det 1 a
Chapter 4, Problem 4.3.30(choose chapter or problem)
Explain why this Vandermonde determinant contains x 3 but not x 4 or x 5 : V4 = det 1 a a2 a 3 1 b b2 b 3 1 c c2 c 3 1 x x2 x 3 . The determinant is zero at x = , , and . The cofactor of x 3 is V3 = (ba)(ca)(cb). Then V4 = (xa)(xb)(xc)V3
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