The problems of matrix representations of normalized octonions with division, as well as splitThe problems of matrix representations of normalized octonions with division, as well as splitoctonions due to non-associative multiplication are considered. An algorithm for matrix multiplicationis proposed, which makes it possible to formulate a new approach to the matrix representationof octonions, which can equally be used to represent both ordinary and split octonions. Theexamples illustrating the issues raised in the article are given.
octonions, split octonions, nonassociative, matrix representations of numberoctonions, split octonions, nonassociative, matrix representations of numbersystems.
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