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Why must the determinant of a rotation matrix be 1? I get that its inverse is its transpose and therefore it is orthonormal. but I don't get why that means its determinant is 1.
IP/Host: 198.54.202.---
Registered: 18 years ago
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The best I seem to be able to find online is that a rotation matrix is an orthogonal matrix with a determinant of 1. I also found out that any orthogonal matrix must have a determinant of either 1 or -1 because: