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Math Help - active transformation

  1. #1
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    active transformation

    dear all,we know that active transformation refers to action of changing vectors keeping the operators unchanged whereas passive transformation refers to change of operator components keeping vectors unchanged.
    what i cannot understand(i am just starting linear algebra)is in the former if we introduce change in vectors, then the basis vectors also get changed. so the matrix component of the operators will also change! how can they remain unchanged.??
    thanks.
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  2. #2
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    Quote Originally Posted by eigenspace View Post
    dear all,we know that active transformation refers to action of changing vectors keeping the operators unchanged whereas passive transformation refers to change of operator components keeping vectors unchanged.
    what i cannot understand(i am just starting linear algebra)is in the former if we introduce change in vectors, then the basis vectors also get changed. so the matrix component of the operators will also change! how can they remain unchanged.??
    thanks.

    If you could give some source to books talking of this stuff because I never heard of it..."active" or "passive" transformation...??

    Tonio
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  3. #3
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    you can find it here-

    Change of representation
    also there is an attached pdf.
    sorry if my post was not clear. many thanks for helping me.
    i am sure u know this stuff. just my language was different because my math course is aiming at quantum and operator algebras.
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