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Reduced echelon form?

  1. Feb 16, 2014 #1


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    1. The problem statement, all variables and given/known data

    In each part, the reduced echelon form of the augmented matrix of a system of linear
    equations is given. Find all solutions to the original system.
    [1 0] [2]
    [0 1] [5]
    [1 0] [2]
    [0 0] [1]
    [1 0] [2]
    [0 0] [0]
    [1 2 0 1] [2]
    [0 0 1 1] [5]

    2. Relevant equations


    3. The attempt at a solution

    I know that a.) is already in reduced row echelon form. I just don't understand how to get the last four, because the second and third don't have ones other than in 1 corner.
  2. jcsd
  3. Feb 16, 2014 #2

    Ray Vickson

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    Write out the actual equations corresponding to the echelon forms; after all, that is what we use such form for in the first place---to stand as shorthand for some equations.
  4. Feb 16, 2014 #3


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    You don't "get" the last four into row echelon form. They are also given to already be in row echelon form. You are just asked to write out the solutions.
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