Let A be a 5 × 5 matrix with eigenvalues λ1,λ1, λ1,λ2,λ2, whereλ1 ̸=λ2. (a) Determine the complete list of possible Jordan canonical forms of A. (b) Assume further that (A−λ1I)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?

Let A be a 5 × 5 matrix with eigenvalues λ1,λ1, λ1,λ2,λ2, whereλ1 ̸=λ2. (a) Determine the complete list of possible Jordan canonical forms of A. (b) Assume further that (A−λ1I)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?

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.2: Diagonalization

Problem 32E

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