How is it the determinant of an orthogonal matrix is [tex]\pm1[/tex].(adsbygoogle = window.adsbygoogle || []).push({});

Is it:

Suppose Q is an orthogonal matrix [tex]\Rightarrow [/tex] 1 = det(I) = det(Q^{T}Q)

= det(Q^{T})det(Q) = ((det(Q))^{2}

and if so, what is it for -1.

Thanks.

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# Determinant of an orthogonal matrix

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