Complex
number
The number of the form a + ib, where a
and b are real number and i = ,square root of (-1) is called a complex number. The complex number is
generally is denoted by z or w and it can also be written as ordered pair form
(a, b).
\ z = a + ib = (a, b).
In complex number z = a + ib, a is called the real part
and b is called the imaginary part and it can be written as a = Re (z) and b =
Im(z)
Properties of complex number
· If z1 = (a, b) and z2 = (c, d),
then
z1 + z2 = (a + c, b + d)
(sum of complex numbers)
z1z2 = (ac - bd, ad + bc) (product of complex numbers)
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