I used to test orthogonality by using the definition M(adsbygoogle = window.adsbygoogle || []).push({}); ^{T}= M^{-1}, which means I always calculated the inverse of the matrices. However, isn't it true that if M is orthogonal, then MM^{T}= I?

If we multiply both side by M^{-1}, we get M^{T}= M^{-1}.

Can I use this to proof the orthogonality of a matrix M, instead of calculating it's (often tedious) inverse?

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# Is this a complete test to show that a matrix is orthogonal?

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