Mathematics Exam  >  Mathematics Videos  >  Algebra  >  Basics of Complex Numbers

Basics of Complex Numbers Video Lecture | Algebra - Mathematics

161 videos|58 docs

FAQs on Basics of Complex Numbers Video Lecture - Algebra - Mathematics

1. What are complex numbers?
Ans. Complex numbers are numbers that consist of a real part and an imaginary part. They are expressed in the form a + bi, where a is the real part, b is the imaginary part, and i is the imaginary unit.
2. How do you add complex numbers?
Ans. To add complex numbers, you simply add the real parts together and the imaginary parts together. For example, (3 + 2i) + (1 - 4i) would be (3 + 1) + (2i - 4i) = 4 - 2i.
3. Can complex numbers be multiplied?
Ans. Yes, complex numbers can be multiplied. To multiply complex numbers, you use the distributive property and the fact that i^2 equals -1. For example, (2 + 3i) * (4 - 5i) would be (2 * 4) + (2 * -5i) + (3i * 4) + (3i * -5i) = 8 - 10i + 12i - 15i^2 = 8 + 2i - 15(-1) = 23 + 2i.
4. How do you find the conjugate of a complex number?
Ans. To find the conjugate of a complex number, you change the sign of the imaginary part. For example, the conjugate of 3 + 4i would be 3 - 4i.
5. What is the modulus or absolute value of a complex number?
Ans. The modulus or absolute value of a complex number is the distance between the origin and the point representing the complex number in the complex plane. It is calculated by taking the square root of the sum of the squares of the real and imaginary parts. For example, the modulus of 2 + 3i would be sqrt(2^2 + 3^2) = sqrt(4 + 9) = sqrt(13).
161 videos|58 docs
Explore Courses for Mathematics exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

video lectures

,

Free

,

Basics of Complex Numbers Video Lecture | Algebra - Mathematics

,

MCQs

,

Viva Questions

,

past year papers

,

mock tests for examination

,

ppt

,

Summary

,

shortcuts and tricks

,

Previous Year Questions with Solutions

,

Sample Paper

,

pdf

,

Semester Notes

,

Important questions

,

Extra Questions

,

Exam

,

practice quizzes

,

Basics of Complex Numbers Video Lecture | Algebra - Mathematics

,

study material

,

Basics of Complex Numbers Video Lecture | Algebra - Mathematics

,

Objective type Questions

;