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Imaginary Numbers are Not "Imaginary"! In 5 Levels of Complexity

To try everything Brilliant has to offer—free—for a full 30 days, visit https://brilliant.org/DrSean . You’ll also get 20% off an annual premium subscription. Imaginary numbers are not "Imaginary"! Despite their name, they are completely solid mathematically, and they are critical for many real-world applications. Let's explore imaginary numbers in 5 levels, ranging from the idea behind calling them "imaginary" to exploring their rectangular and polar forms, complex numbers as matrices, and real-world applications. This video was sponsored by Brilliant. 00:00 Introduction 00:21 Level 1: "Imaginary" 02:17 Level 2: Rectangular and Polar 05:16 Level 3: Matrices 08:10 Sponsor Message 09:26 Level 4: Applications 10:15 Level 5: Abstract Algebra

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