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In our paper we consider the notion of determinant of Clifford algebraelements. We present some new formulas for determinant of Clifford algebraelements for the cases of dimension 4 and 5. Also we consider the notion oftrace of Clifford algebra elements. We use the generalization of the Pauli'stheorem for 2 sets of elements that satisfy the main anticommutation conditionsof Clifford algebra.

Concepts of trace, determinant and inverse of Clifford algebra elements