Show that if v is an eigenvector of matrix A, then v is also an eigenvector of A³. Use this to find the general solution of the system x' solutions of the system x' = Ax are of the form 1 H 2 where A is a 3 × 3 constant matrix and C1, C2, C3 € R. C₁e-t + c₂e²t + c3e -3t 0 2 = A³x if all

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