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Matrice echelons

  1. Apr 30, 2009 #1
    2a:
    state whether each of the following matrices is in reduced echelon form. If it is not, then give a reason and say what single row operation is needed to bring it to reduced echelon form.


    II)

    1 1 0 3 0
    0 0 1 2 0
    0 0 1 2 1
    not in reduced echelon form ( don't know how to do this one)
    NOT SURE WHAT SINGLE OPERATION will bring to reduced echelon form

    III)

    1 0 -2 0
    0 1 0 0
    0 0 0 1
    not in reduced echelon form(not sure how to remove the -2)
    NOT SURE WHAT SINGLE OPERATION will bring to reduced echelon form

    0 1 5 0 1
    0 0 0 1 2
    0 0 0 0 0
    not in reduced echelon form (there is a 5 in the way)
    NOT SURE WHAT SINGLE OPERATION will bring to reduced echelon form

    VII)

    1 4 0 1
    0 0 0 0
    0 0 1 3
    not in reduced echelon form(there is a 4 in the way)
    NOT SURE WHAT SINGLE OPERATION will bring to reduced echelon form
     
  2. jcsd
  3. Apr 30, 2009 #2

    Mark44

    Staff: Mentor

    Use the 2nd row to eliminate the 1 in the 3rd row.
    This ***is*** in reduced row echelon form. Check your book to see how RREF is defined and I think you'll see why I'm saying you're done here.
    Again, check the definition of RREF. You're done here.
    Swap rows 2 and 3.
     
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