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Finding matrix and the inverse is given

  1. May 17, 2017 #1
    1. The problem statement, all variables and given/known data

    Using the following information, find the matrix A

    (I+2A)-1 =

    [-1 2]
    [4 5]

    2. Relevant equations

    AA-1 = I

    3. The attempt at a solution

    none. I have no idea how should I start. The inverse on the whole left side is driving me crazy.
     
  2. jcsd
  3. May 17, 2017 #2

    FactChecker

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    Start reversing the operations of (I+2A)-1 one by one till you strip it down to A. You know the matrix value of (I+2A)-1
     
  4. May 17, 2017 #3
    Thanks a lot for the response, so basically start getting the inverse of the given matrix and get rid of the -1 on the left then and keep going, is that what you mean ?

    Sounds logical, not sure why I never thought of it that way. Again thank you.
     
  5. May 17, 2017 #4

    FactChecker

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    That's right.
     
  6. May 17, 2017 #5
    Solved and understood. Thanks again :)
     
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