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Math Help - Orthogonal matrices

  1. #1
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    Orthogonal matrices

    ok i've done this proof before, its pretty simple but i cant seem to do it now, and i have an exam tomorrow......
    how do you show that Av.Au=v.u where A is an orthogonal matrix and u and v are vectors,
    thanks for any help
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  2. #2
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    Quote Originally Posted by hmmmm View Post
    ok i've done this proof before, its pretty simple but i cant seem to do it now, and i have an exam tomorrow......
    how do you show that Av.Au=v.u where A is an orthogonal matrix and u and v are vectors,
    thanks for any help

    It is practically the definition of orthogonal matrix! Since A^{-1}=A^{*} , Av\cdot Au=v\cdot A^{*}Au=v\cdot Iu=v\cdot u

    Tonio
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  3. #3
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    thanks very much!
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