Respuesta :
The set of complex numbers IS the set of all numbers of the form [tex]a + b \cdot i[/tex], where a and b are real numbers, and i is the imaginary unit defined as [tex]i=\sqrt{-1}[/tex], therefor the statement is correct.
Further explanation
Complex numbers can be seen as an extension of the set of all real numbers, and they have a wide range of aplications in many fields like Engineering, Physics, Mathematics and more. The most simple definition of a complex number, is that they are the sum of a real number (in this case a) and an imaginary number (in this case [tex]b \cdot i[/tex]).
Usually confusion arises in many students while studying complex numbers because the imaginary unit, i, isn't a number we can compute. The best way to see these numbers is as 2-dimensional numbers, meaning numbers that have 2 components (the idea is almost the same as that of a 2-dimensional vector). They are thoroughly used in Mechanical Engineer to solve for vibration problems, and in Electrical Engineering to compute the real and imaginary part of electric power.
Learn more
- How to multiply complex numbers: https://brainly.com/question/501218
- How to add complex numbers: https://brainly.com/question/1665916
Keywords
Complex numbers, imaginary unit, real numbers
