Let all eigenvalues of A be distinct and let q; be a right eigenvector of A associated with λi, that is, Aq;= λiqi. Define Q = [91 92 an] and define ... P:=Q-¹=: P₁ P2 Pn where Pi is the ith row of P. Show that p; is a left eigenvector of A associated with λ₁, that is, p;A = λ¡P¡. of A are distinct then (sI-A)-¹ can be expressed as

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