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Thedifference between diagonalazation and basis transformation

  1. Mar 2, 2009 #1
    why when we want to trasform a matrix to a diagonolized form
    D=p^-1*A*P

    but when we want to change a matrix to a new basis
    [tex]
    [A]_v=P*[A]_E*p^-1
    [/tex]
    ??

    why the transformation matrices are flipped??
     
  2. jcsd
  3. Mar 2, 2009 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    They are not. It's just a different choice where which matrix is P and which is P-1.
     
  4. Mar 2, 2009 #3
    but there is no choise
    p is always a transformation matrix and P^-1 is its inverse

    why the other formula flips them
    ??
     
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