Complex

Complex number representation

Complex number representation

A complex number is a number that can be expressed in the form of a + ib where a represents the real part, and b is the imaginary part; i is the imaginary unit which is defined as the square root of -1 or we can have i as the solution of x2 = -1.

  1. Why is z used to represent complex numbers?
  2. What are the two forms used to represent a complex number?
  3. How are complex numbers represented in Python?

Why is z used to represent complex numbers?

z, a number in the complex plane

When an imaginary number (ib) is combined with a real number (a), the result is a complex number, z: The real part of z is denoted as Re(z) = a and the imaginary part is Im(z) = b. The real axis is the x axis, the imaginary axis is y (see figure).

What are the two forms used to represent a complex number?

Review the different ways in which we can represent complex numbers: rectangular, polar, and exponential forms.

How are complex numbers represented in Python?

An complex number is represented by “ x + yi “. Python converts the real numbers x and y into complex using the function complex(x,y). The real part can be accessed using the function real() and imaginary part can be represented by imag().

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