Category: Linear Algebra
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The Language of Linear Algebra
Imagine we have 3 vectors in space. At first, they seem to be completely unrelated to each other, but look closely. When we define them with these specific coordinates, then (technically) we can observe a hidden structure. Can you tell which? Your answer, here, will show whether or not you have the necessary intuition to…
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What Spheres Tell Us About Higher Dimensions
Here’s an interesting question: take a 2-dimensional sphere inside of a 3-dimensional space. Any rotation you can think of, always leaves 2 points fixed . They are the only 2 points that don’t move. Now, increase the dimensions by 1: imagine a 3-dimensional sphere sitting inside of a 4-dimensional space. Do you think that the…
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The Roadmap to Linear Algebra I Wish I Had
The PDF is accompanied by this video. If you find value in our videos and would like to support our work further, and get very useful info that is unavailable anywhere else, consider purchasing this Full PDF on Linear Algebra This PDF offers a clear overview of the core ideas of linear algebra. It will…
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The Most Powerful Theorem in Operator Theory
The PDF is accompanied by this video. We’d like to keep our videos free of interruptions and sponsors, so that the sole focus is the subject at hand. But in order to do that we need your help. If you find value in our videos and would like to support our work further, and get…
