問題詳情

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 twosquare matrices. Prove or disprove each of the following


【題組】

(i) (8分)ρ(AB) ≤ρ
(A)p
(B).

參考答案