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What's the difference between these 2 problems?

  1. Jul 18, 2014 #1
    Problem 1: Use Gaussian elimination with back substitution to solve the following system.
    Problem 2: Use the Gauss-Jordan method to solve the following system.

    I've worked on both of these types of problems but I didn't notice the difference between these 2 types of problems. Aren't the Gaussian elimination with back substitution and the Gauss-Jordan method the same thing?
     
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  3. Jul 18, 2014 #2

    SteamKing

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  4. Jul 19, 2014 #3

    verty

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    The wikipedia page is not at all clear, search for "Gauss-Jordan" to see where it talks about it.
     
  5. Jul 19, 2014 #4

    SteamKing

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    Exactly. That's why I said what I said.
     
  6. Jul 19, 2014 #5

    AlephZero

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    The important thing is the general idea of performing elementary row operations on a matrix to make some of the matrix elements zero. There are more than two practical ways to do this.

    IMO debating exactly who discovered (or rediscovered) which particular method is a question for historians, not mathematicians.
     
  7. Jul 19, 2014 #6
    Thanks for the help, guys.
     
  8. Jul 19, 2014 #7

    micromass

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    Last edited by a moderator: May 6, 2017
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