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Rank of a Matrix

  1. Mar 12, 2009 #1
    1. The problem statement, all variables and given/known data

    Determine the values of k, if any, that give the matrix (1,1,k),(1,k,1),(k,1,1) a rank of: zero, one, two, or three.

    2. Relevant equations



    3. The attempt at a solution

    I tried reducing to row echelon form but it's confusing dealing with all the k's. Is there a better approach to this?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 12, 2009 #2
    The row echelon form of this matrix is not very complicated, however it depends on the value of k. So whenever you divide by some value involving k while computing it, you will need to consider special cases (k=1, k=-2).
     
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