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Quaternion Invariants of Linear Vector Functions and Quaternion Determinants

✍ Scribed by Charles J. Joly


Book ID
125074873
Year
1896-1898
Weight
941 KB
Volume
4
Category
Article
ISSN
0301-7400

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Determinants and multiplicative function
✍ Jiangnan Fan πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 92 KB

Determinants of matrices over a field are multiplicative. Does there exist an extension of the definition of determinants of real matrices to quaternion matrices, such that the multiplication theorem holds? This paper proves there does not exist such an extension. We give a universal property on mul