Geometry of 2x2 matrix curves
Keywords:Matrix curves, Gram-Schmidt orthogonalization process, Frenet-Serret formulas, fundamental theorem of curves
In this work, we study the geometry of 2x2 order matrix curves with real coefficients. We use the Gram-Schmidt orthogonalization process to generate a convenient moving benchmark. Thus, we obtain the Frenet-Serret formulas. We present a version of the fundamental theorem of 2x2 matrix curves.
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