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Math Help - question about rotation matrix

  1. #1
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    question about rotation matrix



    not sure about part 1 of question and......

    Really unfamiliar with rotation matrix( including reflection, orthogonal matrix)

    can anyone also tell me the connection between them, and some important properties of them???

    Thanks very much!!!
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  2. #2
    Moo
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    Hello,

    To prove that a matrix is a rotation matrix, you have to check :
    - vectors are norm 1 (lines or columns, it's not important)
    - determinant > 0 (since vectors are norm 1, it automatically implies that the determinant is =1)

    The axis will be the eigenspace generated by 1 (I'm not sure if there are further things to do here) :

    AX=X

    It's like in geometry : the axis doesn't change when rotating.
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