Consider the following initial-value problem. λ = K₂ = 2 = X' = Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) 1 1 1 2 2 1 = 0 Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) K₁ (0,1) (1,1) X, X(0) = - (3) Solve the given initial-value problem. X(t) (1/t) - ( 12/1²) (1²/1²) 4e ,3e. + 4e

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