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Consider the following nonhomogeneous system. X' = -1 -(3-3)x+(2) (- t+4. Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a

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Consider the following nonhomogeneous system. X' = -1 -(3-3)x+(2) (- t+4. Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) = 2, 2,-4 Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue. If there is only one repeated eigenvalue, enter the eigenvector in each answer blank.) K = (1, 1) (1,1) K = Find the general solution of the given system. x(t) = C(1, 1)e - 1)e4 + C (1,1)e + 1 3 1 13 5 t + t + 4' 4 4' 4 8 8

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