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Math Help - orthogonal matrix

  1. #1
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    orthogonal matrix

    Prove that if Q is an orthogonal matrix, the det(Q)=(+-)1.
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  2. #2
    A Plied Mathematician
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    What ideas have you had so far?
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  3. #3
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    Quote Originally Posted by Ackbeet View Post
    What ideas have you had so far?
    Actually I think I've got it. Using the two theorems (if allowed) of det(AB)=det(A)det(B) and detA=detA^t...without explict detail we will eventually end up (det(Q))^2=1 which will leave us with det(Q)= 1 or -1
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  4. #4
    A Plied Mathematician
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    Perfect. You don't need to add any more - I think you're done.
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