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Gauss Jordan Elimination

  • 04-05-2014 9:12pm
    #1
    outnumbered
    Closed Accounts Posts: 1,696 ✭✭✭


    Hi Guys,
    I am looking for a way that Guass Jordan elimination always works. I mean, every time I try it, i am at it for ages without success. Why won't it work out. Am i missing fundamental methods...

    eg. -12 7
    -7 10
    I can't do matrix brackets :P


Comments

  • #2
    bnt
    Registered Users, Registered Users 2 Posts: 13,077 ✭✭✭✭bnt


    You could be misunderstanding some fundamental operations, such as the row operations (multiplying the "fixed" row, then adding it to the row you need to modify). Always keep an eye on what the goal is - the reduced echelon form. Is a video like the following any help?

    https://www.youtube.com/watch?v=CsTOUbeMPUo

    You are the type of what the age is searching for, and what it is afraid it has found. I am so glad that you have never done anything, never carved a statue, or painted a picture, or produced anything outside of yourself! Life has been your art. You have set yourself to music. Your days are your sonnets.

    ―Oscar Wilde predicting Social Media, in The Picture of Dorian Gray



  • #3
    Blackpanther95
    Registered Users, Registered Users 2 Posts: 176 ✭✭Blackpanther95


    Try it with simultaneous equations only first- its the exact same thing but only with the numbers


  • #4
    outnumbered
    Closed Accounts Posts: 1,696 ✭✭✭outnumbered


    bnt wrote: »
    You could be misunderstanding some fundamental operations, such as the row operations (multiplying the "fixed" row, then adding it to the row you need to modify). Always keep an eye on what the goal is - the reduced echelon form. Is a video like the following any help?

    https://www.youtube.com/watch?v=CsTOUbeMPUo
    Thank you!
    Blackpanther95 wrote: »
    Try it with simultaneous equations only first- its the exact same thing but only with the numbers

    It has to be Gauss Jordan.. it's a question that specifically asks for it


  • #5
    Blackpanther95
    Registered Users, Registered Users 2 Posts: 176 ✭✭Blackpanther95


    outnumbered wrote: »
    Thank you!



    It has to be Gauss Jordan.. it's a question that specifically asks for it
    They are actually the same thing, maybe thats why you don't get it. Think about how you solve a simultaneous equation. You add a multiple of one line to another to get one variable to cancel (e.g. 0(x) ) . In gauss jordan, you perform the EXACT same operation, you add one line to the next, each time you want the left-most non-zero entry to cancel out and become zero.


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