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August 31st, 2013, 12:12 PM   #1
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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:
|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
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Re: gauss-ellimination problem

Try to clarify the notation.
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August 31st, 2013, 07:32 PM   #3
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Re: gauss-ellimination problem

Hello, p3n3m!

You seem to have:

soroban is offline  
September 1st, 2013, 12:03 AM   #4
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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
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September 1st, 2013, 12:05 PM   #5
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Re: gauss-ellimination problem

Originally Posted by soroban

Using Matrix product we get

Rearranging we get:

Which we can transform in this matrix system again.

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