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Perron-Frobenius Theorem for Two Positive Matrices
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In the solutions manual how were they able to make the jump from Bx>λ_max(A)x to λ_max(B)>λ_max(A)? Isn't it too much of a coincidence that the leading Eigenvector of A is also the leading Eigenvector of B? Can you maybe enlighten me on the logic behind this solution manual?
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