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    I'm looking at a question and it says "Show that the determinant of a real orthogonal matrix is always -1 or +1".

    All I've got on my page so far is  AA^T = I I can't see what I have to use or what to do. Can somebody point me in the right direction please?
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    (Original post by Preeka)
    I'm looking at a question and it says "Show that the determinant of a real orthogonal matrix is always -1 or +1".

    All I've got on my page so far is  AA^T = I I can't see what I have to use or what to do. Can somebody point me in the right direction please?
    How are det(A) and det(A^T) related?
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    Also, what does det(AB) equal? (in terms of A and B?)
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    Ooo I get it now, thank you to those who posted.
 
 
 
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Updated: April 12, 2011
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