Matrix_inversion After describing the preconditions for the existence of an inverse and its definition, the minors and cofactors of a matrix are explained. Based on these an example formula to compute the determinant of a 4-by-4 matrix is presented. Conclusively two procedures to determine the inverse of a matrix, the Gauß-Jordam-Algortithm and Adjugate Formula, are introduced and clarified by examples.