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Linear Algebra: Complex Numbers
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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
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
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