The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find a general solution of the system. X'₁ = 9x₁ + 3x₂ + 6x3, X'2 = 3x₁ + 12x₂ + 3x3, X'3 = 6x₁ + 3x2 + 9x3

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