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Linear Algebra: use elem. row ops to convert A into B

  1. Mar 4, 2015 #1
    1. The problem statement, all variables and given/known data

    Show that the given matrices are row equivalent and find a sequence of elementary row ops that will convert A into B.

    a =
    2 0 -1
    1 1 0
    -1 1 1

    b =
    3 1 -1
    3 5 1
    2 2 0

    2. Relevant equations

    3. The attempt at a solution

    I apologize in advance, as I'm not sure how to make these matrices look good (will need to look up LATEX, so I can present my matrices better).

    The elementary row ops that I chose to do were as follows:

    R2 + R1 --> R1
    R2 <---> R3
    R3 + R2 -->R2
    R1 + R2 --> R2
    2R3 --> R3
    R3 + R2 --> R2

    This gave me the following matrix, which is not the answer, but is my best try:

    a =
    3 1 -1
    5 5 0
    2 2 1
  2. jcsd
  3. Mar 4, 2015 #2


    User Avatar
    Science Advisor

    R2 + R1 →R1 OK
    4*R2 + R3→R2
    Now do the third row...
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