Question: a 1. Consider the Vandermonde matrix V = b b 1 C (a) Show that del(V) =(b-a)(c-a)(b-c). (10 marks) (b) Find the relations between a,

a 1. Consider the Vandermonde matrix V = b b 1 C (a) Show that del(V) =(b-a)(c-a)(b-c). (10 marks) (b) Find the relations between a, b. c in order for I to be nonsingular. (6 marks) (c) If a = 1, b = 2, c = 3, find all the solutions of the system V . x = 0, where X E R3 (4 marks)

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