What are complex numbers
Complex numbers are numbers that can be expressed in the form "a + bi" where "a" and "b" are real numbers, and "i" is an imaginary unit that satisfies the equation "i^2 = -1". In this form, "a" is the real part and "bi" is the imaginary part of the complex number. The set of all complex numbers is denoted by the symbol "C".
Complex numbers are numbers that contain both a real part and an imaginary part. They are expressed in the form a + bi, where a is the real part and bi is the imaginary part, with i representing the imaginary unit (√-1). The real part and imaginary part can be positive, negative, or zero.
For example, the number 3 + 4i is a complex number. In this case, the real part is 3 and the imaginary part is 4i.
Complex numbers are used in various fields of mathematics and engineering, including electrical engineering, control systems, signal processing, and quantum mechanics. They provide a powerful tool for representing and manipulating quantities that have both magnitude and direction.