Let M be a 2 × 2 matrix with eigenvalues ₁ = -0.8, 12 = 1 with corresponding eigenvectors Consider the difference equation with initial condition X = V₁ = V2 = Xk+1 = Mxk Write the initial condition as a linear combination of the eigenvectors of M. That is, write x0 = c1V1 + C2V2 = In general, X = Vi+ V2 k )* VI+ ) k V2 Specifically, X2 = For large k, xk →

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