Question: Consider the 3 Ã 3 Vandermonde matrix (a) Show that det(V) = (x2 - x1)(x3 - x1)(x3 - x2). (b) What conditions must the scalars

Consider the 3 × 3 Vandermonde matrix
Consider the 3 × 3 Vandermonde matrix (a) Show that det(V)

(a) Show that det(V) = (x2 - x1)(x3 - x1)(x3 - x2).
(b) What conditions must the scalars x1, x2, x3 satisfy in order for V to be nonsingular?

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