Complex numbers is a kind of two-dimensional vectors whose components are the so-called real part and imaginary part. The real part usually corresponds to physical quantities while the imaginary part …

identify the real parts and imaginary parts of complex numbers, solve linear equations with complex numbers by setting the real parts and imaginary parts equal to each other, and add and subtract with …

Complex numbers can be added, subtracted, multiplied and divided. Whenever we do operations with complex numbers it is important to clearly identify the resulting complex number with its real and …

We can thus represent a complex number z1 in terms of a real and imaginary component (rectangular coordinates), or in terms of a mag-nitude, jz1j, and a phase angle \z1 (polar coordinates).

We can represent complex numbers graphically on a x–y coordinate system where point (a, b) represents the complex number a+bi. We call this the rectangular form of complex numbers.

Any complex number z can be written as the sum of a real part and an imaginary part: z = [Re z] + i[Im z] ; where the numbers or variables in the []'s are real. So z = x + y i with x and y real is in this form …

Any complex number is then an expression of the form a + bi, where a and b are old-fashioned real numbers. The number a is called the real part of a + bi, and b is called its imaginary part.