Eigenvalues & Eigenvectorsmedium
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A 3×33 \times 3 real matrix AA has eigenvalues λ1=6\lambda_1 = -6, λ2=4\lambda_2 = 4, and λ3=2\lambda_3 = 2. If the Power Method is applied to AA with a randomly chosen initial vector x0x_0, to which eigenvalue (in terms of absolute value) will the method typically converge?