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Algebra |
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Authors: Luca Pettinari
A decomposition formula for an antisymmetric matrix Aω ∈ A3(R) is provided, where its axial vector is expressed as ω = Mν, with M symmetric and ν ∈ R3. The proof is based mainly on vector projection through Frobenius inner product. In the end, a vectorial identity involving cross product is proved as a corollary of the decomposition formula.
Comments: 8 Pages.
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[v1] 2022-04-29 20:18:40
[v2] 2022-05-03 21:00:50
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