Let A be a 5 5 matrix with eigenvalues 1,1, 1,2,2, where 1 = 2. (a) Determine the

Chapter 7, Problem 9

(choose chapter or problem)

Let A be a 5 5 matrix with eigenvalues 1,1, 1,2,2, where 1 = 2. (a) Determine the complete list of possible Jordan canonical forms of A. (b) Assume further that (A 1 I)2 = 05. Among the matrices listed in part (a), which of them are the possible Jordan canonical form of A in light of this new information?

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