Question

The set of complex numbers is the set of all numbers of the form a + bi, where a and b are real numbers and i = . A. True B. False

Answer 1

The set of complex numbers IS the set of all numbers of the form $a + b \cdot i$, where a and b are real numbers, and i is the imaginary unit defined as $i=\sqrt{-1}$, 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 $b \cdot i$).

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: brainly.com/question/501218
• How to add complex numbers: brainly.com/question/1665916

Keywords

Complex numbers, imaginary unit, real numbers