My Math Forum  

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

Linear Algebra Linear Algebra Math Forum


Thanks Tree2Thanks
  • 2 Post By Micrm@ss
Reply
 
LinkBack Thread Tools Display Modes
July 18th, 2017, 02:20 AM   #1
Newbie
 
Joined: Jun 2017
From: Earth

Posts: 16
Thanks: 0

Should span be a finite linear combination only?

Wiki says infinite linear combination should be excluded off of the definition of span. So should we answer "Yes" to the following question appearing in UC Davis notes?:

zzzhhh is offline  
 
July 18th, 2017, 02:30 AM   #2
Senior Member
 
Joined: Oct 2009

Posts: 139
Thanks: 56

The answer is indeed yes.
Thanks from Country Boy and zzzhhh
Micrm@ss is offline  
August 17th, 2017, 04:35 PM   #3
Math Team
 
Joined: Jan 2015
From: Alabama

Posts: 2,574
Thanks: 667

Note that in "functional analysis", where we have infinite dimensional vector spaces and a notion of limits, so that we can add an infinite number of vectors, we can have a "span" of an infinite number of vectors. Fourier series are an example of that.
Country Boy is offline  
Reply

  My Math Forum > College Math Forum > Linear Algebra

Tags
combination, finite, linear, span



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Linear combination mosvas Linear Algebra 2 December 10th, 2016 06:07 AM
Prove that the span[A]+span[B]=span[AUB] cristi92b Linear Algebra 4 December 23rd, 2011 02:02 AM
linear combination aaron-math Linear Algebra 1 September 15th, 2011 01:17 PM
Linear Combination and Span WeMo123 Linear Algebra 1 January 11th, 2011 04:04 PM
Linear Combination nillaguerilla Advanced Statistics 2 November 3rd, 2008 12:11 PM





Copyright © 2017 My Math Forum. All rights reserved.