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complex number. For example, 2 + i3, (– 1) + i i ⎜ 11 ⎟ are complex numbers. ⎝ ⎠. the complex number z = a + ib, a is called the real part, denoted by Re. b is called the imaginary part denoted by Im z of the complex number z. For example, if z = 2 + i5, then Re z = 2 and Im z = 5.
The addition of complex numbers satisfy the following properties: (i) The closure law The sum of two complex numbers is a complex number, i.e., z 1 + z 2 is a complex number for all complex numbers z 1 and z 2. (ii) The commutative law For any two complex numbers z 1 and z 2, z 1 + z 2 = z 2 + z 1 (iii) The associative law For any three complex ...
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