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Jordan Canonical Forms, Characteristic Polynomials and Diagonalization of Matrices

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Prove that the matrices

A = -8 -10 -1 B = -3 2 -4
7 9 1 4 -1 4
3 2 0 4 -2 5

both have (x - 1)^2(x + 1) as characteristic polynomial but that one can be diagonalized and the other cannot. Determine the Jordan canonical form for both matrices.

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This solution looks at Jordan Canonical Forms, characteristic polynomials and diagonalization of matrices are investigated. The solution is presented in an attached Word document.

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