Article ID Journal Published Year Pages File Type
1901215 Reports on Mathematical Physics 2006 6 Pages PDF
Abstract

By means of a complex representation of a quaternion matrix and a companion vector, this paper introduces a new definition of determinant for a quaternion matrix, derives a technique of finding an inverse matrix of a quaternion invertible matrix, and gives a Cramer rule for quaternionic linear equations in quaternionic quantum theory.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics