Inverse and Determinant in 0 to 5 Dimensional Clifford Algebra

Abstract

This paper presents equations for the inverse of a Clifford number in Clifford algebras of up to five dimensions. In presenting these, there are also presented formulas for the determinant and adjugate of a general Clifford number of up to five dimensions, matching the determinant and adjugate of the matrix representations of the algebra. These equations are independent of the metric used.

arXiv comment22 pages, 19 tables

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