Exercises 9 and 10 concern determinants of the following Vander-monde matrices. 1. Use row operations to show
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1. Use row operations to show that
det T = (b - a) (c - a) (c - b)
2. Let f(t) = det V, with x1, x2, x3 all distinct. Explain why f(t) is a cubic polynomial, show that the coefficient of t3 is nonzero, and find three points on the graph of f?
Transcribed Image Text:
31 32 33 1 21 22 23 2 3 abc abc
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1 2 Expanding along the first row will show that f t det v c 0 c 1 t c 2 t c 3 t By Exercis...View the full answer
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