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The power of Clifford or, geometric, algebra lies in its ability to representgeometric operations in a concise and elegant manner. Clifford algebras providethe natural generalizations of complex, dual numbers and quaternions intonon-commutative multivectors. The paper demonstrates an algorithm for thecomputation of inverses of such numbers in a non-degenerate Clifford algebra ofan arbitrary dimension. The algorithm is a variation of theFaddeev-LeVerrier-Souriau algorithm and is implemented in the open-sourceComputer Algebra System Maxima. Symbolic and numerical examples in differentClifford algebras are presented.

Algorithmic computation of multivector inverses and characteristic polynomials in non-degenerate Clifford algebras