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. Is it possible to have AB=In without B being the inverse of A?

  1. Aug 18, 2011 #1
    1. The problem statement, all variables and given/known data

    30.
    Is it possible to have AB= In without B being the inverse of A? Explain your reasoning.

    2. Relevant equations



    3. The attempt at a solution
    yes if A=
    |1 1 0|
    |0 1 0|
    B=

    |1 -1|
    |0 1|
    |0 0|
    AB=I(2) , BA=! I3 right?
     
  2. jcsd
  3. Aug 18, 2011 #2

    rock.freak667

    User Avatar
    Homework Helper

    That would be true once A and B do not have the same dimensions (as you showed using an example)
     
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