Jordan Canonical Forms, Characteristic Polynomials and Diagonalization of Matrices
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.