Consider the following system. X'= = 1 0 0 0 9 4 X 0-4 1 Find the repeated eigenvalue of the coefficient matrix A(t). λ = 5 2 = Find an eigenvector for the repeated eigenvalue. K = (0,1,-1) Find the nonrepeating eigenvalue of the coefficient matrix A(t). 1 Find an eigenvector for the nonrepeating eigenvalue. K = (1,0,0) Find the general solution of the given system.

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