HomeComplex NumbersThe Modulus and the Conjugate of a Complex Number The Modulus and the Conjugate of a Complex Number Shashee Kant Sharma October 03, 2020 Modulus of a Complex NumberLet z = a + ib be a complex number. Then, the modulus of z, denoted by | z |, is defined to be the non-negative real numberConjugate of a Complex NumberThe conjugate of z, denoted as , is the complex number a – ib, i.e.,Multiplicative inverse complex numberObserve that the multiplicative inverse of the non-zero complex number z is given by Tags Complex Numbers Newer Decimal-expansion:Terminating and Non-terminating Older Multiplication of two complex numbers