Question: Let p be the polynomial in exercise 22. And suppose the equation p(f) = 0 has distinct roots Î»1, Î»2, Î»3. Let V be the

Let p be the polynomial in exercise 22. And suppose the equation p(f) = 0 has distinct roots Î»1, Î»2, Î»3. Let V be the Vandermonde matrix

(The transpose of V was considered in Supplementary Exercise 11 in Chapter 2.) Use Exercise 22 and a theorem from this chapter to deduce that V is invertible (but do not compute V-'). Then explain why V-'Cp Visa diagonal matrix.

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