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What is the right formula

  1. Feb 28, 2008 #1
    what is the right formula for the transformation of one base into
    another ??

    P-transformation matrix

    is it S*A*S^-1


    is it S^-1*A*S
  2. jcsd
  3. Feb 28, 2008 #2


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    Staff Emeritus
    Science Advisor

    That depends entirely upon what S is!

    Obviously, if S*A*S-1 goes from basis P to basis Q, S-1*A*S goes from basis Q to basis P.
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