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Eigenvalues & Eigenvectorsmedium
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A discrete dynamical system is governed by xn+1=Axn\mathbf{x}_{n+1} = A\mathbf{x}_nxn+1​=Axn​ where AAA has eigenvalues λ1=0.8\lambda_1 = 0.8λ1​=0.8, λ2=−0.5\lambda_2 = -0.5λ2​=−0.5, and λ3=1.2\lambda_3 = 1.2λ3​=1.2. Which statement about long-term stability is true?