Mathematics. – GAUSS v · Part 4

z or z – ), called the multiplicative inverse of z such that z.z = (the multiplicative identity). (vi) The distributive law For any three complex numbers z , z , z , (a) z ( z + z ) = z z + z z (b) ( z + z ) z = z z + z z . . Division of two complex numbers Given any two complex numbers z and z , where z ≠ , the quotient z z is defined by z z z z For example, let z = + i and z = – i Then ( ) z z ×  = ( i −− + − + − MATHEMATICS