Consider the 3 3 Vandermonde matrix V = 1 x1 x2 1 1 x2 x2 2 1 x3 x2 3 (a) Show that
Chapter 2, Problem 12(choose chapter or problem)
Consider the 3 3 Vandermonde matrix V = 1 x1 x2 1 1 x2 x2 2 1 x3 x2 3 (a) Show that det(V) = (x2x1)(x3x1)(x3x2). [Hint: Make use of row operation III.] (b) What conditions must the scalars x1, x2, and x3 satisfy in order for V to be nonsingular? 1
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