1.p.t then A~[~ !l The proof and applications of this result. unfonunately. lie beyond

Chapter 7, Problem 32

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1.p.t then A~[~ !l The proof and applications of this result. unfonunately. lie beyond the scope of this book. Verify the CayleyHamilton theorem for the following matrices: Prove that the characteristic polynomial 1'(1.) of A is given by peA) =).2 _ Tr(A)A + det(A). where Tr(A) denotes the trace of A (see Exercise 43 in Seclion 1.3)

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