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Trasformation theory question

  1. Feb 8, 2008 #1
    my solution is in that link

    http://img246.imageshack.us/my.php?image=img8267rf4kq1.jpg

    i solved it using that method

    i want to transform a matrix from a standart basis to basis B
    A-out old matrix
    X- the old basis
    Y-the new basis
    S-the transformation matrix
    S^-1 -its inverse

    N-resolt
    i did
    Y|X>>>I|S

    S|I=I|S^-1

    N=S*A*S^-1

    the problem is with the solution that i was given

    but the problem is that the solution that i was given is totaly different

    http://img352.imageshack.us/my.php?image=45865659to7.jpg

    A-old matrix
    B-new basis
    N-answer

    i noticed that he takes
    B|A>>> I|N

    thats totaly different i cant see any logic in that
    and he got a different answer from me
    and he got full points for that

    that gives me a great dought in my method

    can you please tell were am i wrong??
     
  2. jcsd
  3. Feb 9, 2008 #2
    I'm not sure what you wrote down but if

    Y=TX

    where:

    T is a transformation from x to y
    then the matrix is transformed as follows

    A2=T A T^-1

    The basis vectors which you are given can be thought of as a mapping of the basis vectors to the x y z coordinates. Thus your problem differs slight in that I believe T^-1 has columns which are the x, y and z coordinates of the basis vectors which you specified.
     
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