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Inverse of A using Cayley-Hamilton?

  1. Apr 8, 2012 #1
    1. The problem statement, all variables and given/known data
       2 -1 1
    A = -1 2 -1
       -1 -1 2
    Find A^-1 using Cayley Hamilton Theorem?


    2. Relevant equations



    3. The attempt at a solution

    http://i.imm.io/lyhB.jpeg [Broken]


    I came thus far,

    0 = -A^3 + 6A^2 - 11 + 6I

    How do I manipulate the above to get A^-1?
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
  3. Apr 8, 2012 #2
    Multiply by A^(-1) and simplify?
     
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