Question: The result given in Exercise 30b) holds even if all (he eigenvalues of p(λ) are not distinct. Prove this as follows: (a) Let and use

The result given in Exercise 30b) holds even if all (he eigenvalues of p(λ) are not distinct. Prove this as follows:
(a) Let
The result given in Exercise 30b) holds even if all

and use mathematical induction to prove that
det( Dm(λ)) = (-1)m + αmλm + αm-1λm-1 + ....... + a1λ + ao)
(b) Show that
det(C - λl) = (α n-1 - λ)(-λ)n-1 - det(Dn-2) = p(λ)

am am-1a ao - 0 0 D,"(A) = 0 0 1 -

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