My Math Forum  

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

Linear Algebra Linear Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
August 31st, 2013, 12:12 PM   #1
Newbie
 
Joined: Aug 2013

Posts: 2
Thanks: 0

gauss-ellimination problem

Dear All!

I have a problem, and I need some help, The problem is:
I have a linear equation system as follows:
Code:
|500  -500   0|    | 0  |  |F1x|
|-500 600 100| * |d2x|=|  0 |
|0   -10    100|   |d3x|  |  5 |
I want to calculate the result using gauss ellimination(it is only an example, I'll have to solve large systems), but for that I need "only numbers" on the right side (if im right). How can I transform the matrices to the correct form?

Best ragards, Ábel
P.s.: I'm sorry if it's totally wrong what i've wrote.
p3n3m is offline  
 
August 31st, 2013, 02:25 PM   #2
Global Moderator
 
Joined: May 2007

Posts: 6,307
Thanks: 526

Re: gauss-ellimination problem

Try to clarify the notation.
mathman is offline  
August 31st, 2013, 07:32 PM   #3
Math Team
 
Joined: Dec 2006
From: Lexington, MA

Posts: 3,267
Thanks: 407

Re: gauss-ellimination problem

Hello, p3n3m!

You seem to have:









soroban is offline  
September 1st, 2013, 12:03 AM   #4
Newbie
 
Joined: Aug 2013

Posts: 2
Thanks: 0

Re: gauss-ellimination problem

d2x,d3x anf F1x are all unknowns. I'm pretty sure it has solution:
if we calculate the matrix product, we get the following equations:
-500 d2x=F1x
600 d2x-100 d3x=0
-100 d2x + 100 d3x =5
from the last 2:
6 d2x= d3x -> d2x=0.01 d3x=0.06
-> f1x= -5

my problem is that I can't use the gauss ellimination because I think F1x is on the wrong side
p3n3m is offline  
September 1st, 2013, 12:05 PM   #5
Senior Member
 
Joined: Mar 2012
From: Belgium

Posts: 653
Thanks: 11

Re: gauss-ellimination problem

Quote:
Originally Posted by soroban

Using Matrix product we get



Rearranging we get:



Which we can transform in this matrix system again.

gelatine1 is offline  
Reply

  My Math Forum > College Math Forum > Linear Algebra

Tags
gaussellimination, problem



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Gauss Curvature odyssey Calculus 2 November 15th, 2013 10:31 PM
Gauss Jordan Problem Houston_Math_Dummy Algebra 3 December 7th, 2012 06:04 AM
Who can make this with Gauss goni07 Algebra 5 October 13th, 2011 06:19 AM
help with this gauss elimination problem citibankak Applied Math 1 September 6th, 2008 06:55 PM





Copyright © 2017 My Math Forum. All rights reserved.