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Listing Possible RREF Matrix Combinations

  1. Oct 9, 2013 #1

    MDS

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    1. The problem statement, all variables and given/known data
    Using the values 1, 0, and *(to represent any number), list all the possible combinations that could result from performing reduced row echelon form on a 2 x 3 matrix.




    2. Relevant equations
    Instructor 2 x 2 matrix example:
    2ci7nky.png

    3. The attempt at a solution
    I have found 13 different combinations:
    wsa2qp.png

    but we have no examples beyond the 2 x 2 matrix so I haven't been able to attempt to model an equation(since I can't find a theorem or definition that models this) to predict the number of combinations I should find for a 2 x 3 matrix.

    Any help in determining if this is the correct amount of combinations for a 2 x 3 matrix that has been simplified to RREF or what ones I may be missing would be appreciated.
     
  2. jcsd
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