題組內容
10. Define the spectral radius of an n Xn matrix M as
where λ1,...,λn are the eigenvalues of M. Let A and B be two square matrices. Prove or disprove each of the following
(i) (8分)ρ(AB) ≤ρ(A)p(B).
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10. Define the spectral radius of an n Xn matrix M as
where λ1,...,λn are the eigenvalues of M. Let A and B be two square matrices. Prove or disprove each of the following
(i) (8分)ρ(AB) ≤ρ(A)p(B).