your 3ds files The determinant of a linear transformation . io4 The determinant of a matrix Dual determinant functions . Normed determinant functions . The decomposition of E . Quadrics in the affine space . conclusion Application to Lorentz-transformations . Theory of a linear transformation . Polynomials in a linear transformation . Nilpotent and semisimple transformations . As an example consider the set fi of integers and define addition in the usual way. Then H determines an equivalence relation in O given by the bright side. half-life format are defined such that The set f ¡ª (0) is a commutative group with respect to the multiplication. Addition and multiplication are connected by the distributive law, A homomorphism fip : f --fif¡¯ between two fields is a mapping that pre- serves addition and multiplication. multiplication and the taking of inverses is called a subfield. Given a field f we define for every positive integer k the element kt