However , a modified Cayley - Hamilton theorem still holds for the octonions , see Tian ( 2000 ) .
There is no such matrix representation for the octonions , since the multiplication operation is not associative in this case .
A modified Cayley - Hamilton theorem still holds for the octonions , see Tian ( 2000 ) .
There is no such matrix representation for the octonions , since the multiplication operation is not associative in this case .