Linear Algebra - Lecture 1: Vectors in 2D

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We introduce 2-dimensional vectors both algebraically and geometrically. We discuss how to add them and multiply them by scalars.

Please leave a comment below if you have any questions, comments, or corrections.

Timestamps:
00:00 - Introduction
08:02 - Vectors
13:54 - Vector addition
16:24 - Scalar multiplication
18:45 - Vector subtraction
21:20 - Hexagon example
  1. Nathaniel Johnston
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Комментарии
Автор

Jesus, the combination of reading Nathaniel's books and watching his videos here is so fun! I'm gonna recommend this to all of my colleagues and friends.

briansalehi
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Your book is the best first Linear Algebra textbook out there. I cherish my copy. And now I discover your lectures! What a treat, thank you prof.!

lachenmann
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The geometric visualizations really helped. I finally think I'm starting to understand things. Can't wait to complete the whole playlist. Thank u so much!

soumyaporel
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That was a really nice introduction ...!!!! Thanks for the uploads..!!!

CLINTWOOD
Автор

It's still difficult for me to see the geometric interpretation of v-w as you describe it. Instead, I see the result better to first draw the -w vector then add it to v vector. This definitely follows the parallelogram view. I always like to interpret subtraction as just the addition of signed values. Definitely wish you had been my professor in college. My instructor treated this subject with as much enthusiasm as a funeral.

mrspockal