Rotation matrices and rotoreflection matrices, in numerical form, usually have no distinguishing characteristic identifiable by inspection. Unless they are especially simple, they look just about like any other 3-by-3 real numerical matrix filled with values between −1 and +1. In this chapter we develop numerical tests to distinguish them, and to extract the axis and the angle. These tests are collected together in a useful operator named RecognizeMatrix, based on the following theorem
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© 2009 Springer Science+Business Media, LLC
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McClain, W.M. (2009). Recognizing matrices. In: Symmetry Theory in Molecular Physics with Mathematica. Springer, New York, NY. https://doi.org/10.1007/b13137_13
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DOI: https://doi.org/10.1007/b13137_13
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