My Math Forum  

Go Back   My Math Forum > College Math Forum > Linear Algebra

Linear Algebra Linear Algebra Math Forum

LinkBack Thread Tools Display Modes
December 20th, 2007, 03:46 PM   #1
Joined: Dec 2007

Posts: 1
Thanks: 0

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.
vacon is offline  

  My Math Forum > College Math Forum > Linear Algebra

asymptotic, borrowed, matrices, numbers, property, real

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Matrices: Zero Factor Property teachmath Linear Algebra 1 January 23rd, 2014 12:24 PM
Asymptotic equality of products of proximate prime numbers honzik Number Theory 1 June 3rd, 2012 02:01 PM
Subtracting Borrowed Numbers watkd Elementary Math 4 August 12th, 2011 01:45 PM
A Real Polynomial Property? elim Real Analysis 0 April 16th, 2010 04:44 PM
Subtracting Borrowed Numbers watkd Algebra 4 December 31st, 1969 04:00 PM

Copyright © 2019 My Math Forum. All rights reserved.