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December 20th, 2007, 03:46 PM   #1
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Asymptotic Property of Matrices Borrowed from Real Numbers

Suppose U matrices:

A1, A2, ..., AU.

I think that if the norms of them are much smaller than unity, the following property is in effect:

(I+A1)(I+A2)...(I+AU) almost equal to I+A1+A2+...+AU.

(a) Do you agree?

(b) Do you know any testbook that contains something similar?

Thank you in advance.
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