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Yes, and this is a bit obvious, but reals, complex numbers, split complex numbers, quaternions, octonions, sedenions, can all be represented as matrices of the
by anaphylactic 8y ago
Yes, and this is a bit obvious, but reals, complex numbers, split complex numbers, quaternions, octonions, sedenions, can all be represented as matrices of the appropriate form.
- gjm11 8y agoThat's at most sort-of-true. It's not possible to represent octonions by matrices of numbers in such a way that multiplication of matrices corresponds to multiplication of octonions, because matrix multiplication is associative and octonion multiplication isn't.
- Iwan-Zotow 8y agocan't be true, unless there is some special matrix multiplication rule - afaik, standard matrix multiplication is associative
- SubiculumCode 8y agoAn n-dimensional matrix of octonions