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Is E*A*E^(-1) = E^(-1)*A*E

  1. Nov 21, 2014 #1
    I know that matrix and its inverse are commutative i.e. E*E^(-1) = E^(-1)*E

    but is a matrix and its inverse at either side of another matrix commutative?
    E*A*E^(-1) = E^(-1)*A*E

    Any help would be appreciated.
  2. jcsd
  3. Nov 21, 2014 #2


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    2017 Award

    Staff: Mentor

    Not in general.
    Otherwise every coordinate transformation would be equivalent to its inverse transformation.
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