A number of form x + iy where x, y ∈ R and i = √(-1) is called a complex number.

A complex number may also be defined as an order pair z = (x,y).

Imaginary Number

i is called an imaginary number.

  • i2 = -1; i3 = -1; i4 = 1

Algebra of Complex Numbers

 

Conjugate of Complex Number

Modulus (Absolute Value) of Complex Number