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Homework Help: Reduced Row Echelon Matrix

  1. Oct 13, 2009 #1
    What exactly is a reduced row echelon matrix.

    I had to convert this to one:
    1 2 1 1 1 1
    -3 -6 -2 0 -1 -3
    2 4 2 1 3 -3

    And got:
    1 2 1 1 1 1
    0 0 1 3 2 0
    0 0 0 1 -1 5

    Is this right and, if not, why?

    Thanks for the help.
     
  2. jcsd
  3. Oct 13, 2009 #2
    Assuming your arithmetic is correct, that is row echelon form. Reduced row echelon form requires that each column with a leading one have nothing else but zeros in it.
     
  4. Oct 14, 2009 #3

    HallsofIvy

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    Science Advisor

    You have the signs on the last row wrong. You are subtracting 2 times the first row from the third and should have 1- 2(1)= -1, 3- 2(1)= 1, and -3-2(1)= -5.
     
  5. Oct 14, 2009 #4
    Thanks for the help.

    I got
    1 2 0 0 3 -11
    0 0 1 0 5 -15
    0 0 0 1 -1 5

    I think this is right.

    I did it the other way round HallsofIvy.
     
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