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13. (a) Show that the system
has a solution if the a, b, c are distinct and
(b) Calculate the solution.
14. Evaluate:
(a)
(b)
(c)
15. Let D be the general n by n Vandermonde
determinant with the entry cij in the ith row
and jth column given by cij = aji-1.
Show that D is the product
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Tuesday, June 23, 1998