Trace evaluation of matrix determinants and inversion of 4 $\times$ 4   matrices in terms of Dirac covariants
  In the following short paper we list some useful results concerning determinants and inverses of matrices. First we show, how to calculate determinants of $d \times d$ matrices, if their traces are known. As a next step $4 \times 4$ matrices are expressed in terms of Dirac covariants. The third step is the calculation of the corresponding inverse matrices in terms of Dirac covariants. 
Frieder Kleefeld and Manfred Dillig