Linear Algebra: Complex Numbers

In this video, we introduce the idea of complex numbers and imaginary numbers. We also discuss several examples, including a proof based example with mathematical induction.
00:00 - Introduction
00:35 - What is a complex number?
04:20 - Example 1
04:59 - Example 2
05:23 - Example 3
06:33 - Example 4
07:19 - Plotting complex numbers
08:11 - When two complex numbers equal each other
09:13 - Complex conjugate
11:18 - Complex conjugate properties
16:12 - Complex arithmetic
24:08 - Modulus of a complex number
26:39 - Example 5
30:59 - Example 6
35:27 - Example 7
39:20 - Example 8
40:35 - Example 9
45:59 - Example 10

[@bence712]

Thank you!

[@user-db6zu2gv2t]

thank you

[@smilesgarrix]

Cool

[@likjjj584]

For example 10 cant you just do (z^2+9^2)=9(z^2+1) because its much shorter and im getting the same answer

[@MathforThought]

How are you pulling out a 9 like that?

[@Math_Academy2482]

can you by any chance upload this text/pdf you written please ?

[@MathforThought]

I am not allowed to do this sorry.