logo

COMPLEX NUMBERS

Complex numbers are numbers that consist of two parts: a real part and an imaginary part, typically written as a+bi, where a is the real part and b is the imaginary part, with i representing the imaginary unit (where i^2 = -1). These numbers extend the concept of real numbers, allowing for the solution of equations that don't have real solutions, such as x 2 +1=0. Operations on complex numbers include addition, subtraction, multiplication, and division.



Complex numbers are essential in fields such as engineering, physics, and signal processing. Especially in the field of electrical engineering to solve complex simultaneous equations.

Simplify Complex expressions

You can add, subtract, multiply, and divide two or more complex numbers here, by typing into the input box below. Solutions are rounded to three decimal places by default.

General equation

Solving equation or simplifying complex number. Coming soon, you can update the github to contribute to this.

Simultaneous equations

You can solve complex simultaneous eq here by selecting the dimensions of the matrix. The equation is solved using Cramer's method. More info on Cramer's method can be found here.
Questions pertaining this section includes RLC circuits in EE, Sinusoidal signals, and other Electrical engineering applications. The imaginary component should be i or j to align with convention. Use of both is also allowed. The matrix is Ax=B


Enter the number of unknowns, n(n equations):
A
x
=
B

Other Resources

Cramers | Simultaneous eq | AC Signals | Rutgers University