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Inverse Matrix Problem

  1. Oct 7, 2009 #1
    1. The problem statement, all variables and given/known data
    Let a and b be fixed constants and t be a variable. For which values of t is the matrix
    A = [1 1 1 ]
    [a b t ]
    [a^2 b^2 t^2 ] is invertible.

    Also prove that there is no real 5x5 matrix such that (A^2)+I=0

    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Oct 7, 2009 #2
    Interesting problem. Let me know when you've made some effort on it.
     
  4. Oct 7, 2009 #3
     
  5. Oct 7, 2009 #4
    Well, what are some conditions for a matrix to be invertible?
     
  6. Oct 7, 2009 #5
    Determine (A) = 0
     
  7. Oct 7, 2009 #6
    Cool (although you have it backwards). What conditions on t make Det(A) = 0?
     
  8. Oct 8, 2009 #7

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    determinant(A) not equal to 0. "Determine" is a verb.
     
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