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Eigenvalues & Eigenvectorsmedium
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A 3×33 \times 33×3 real matrix AAA has eigenvalues λ1=−6\lambda_1 = -6λ1​=−6, λ2=4\lambda_2 = 4λ2​=4, and λ3=2\lambda_3 = 2λ3​=2. If the Power Method is applied to AAA with a randomly chosen initial vector x0x_0x0​, to which eigenvalue (in terms of absolute value) will the method typically converge?