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| | nickhar.wordpress.com
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| | 1. Low-rank approximation of matrices Let $latex {A}&fg=000000$ be an arbitrary $latex {n \times m}&fg=000000$ matrix. We assume $latex {n \leq m}&fg=000000$. We consider the problem of approximating $latex {A}&fg=000000$ by a low-rank matrix. For example, we could seek to find a rank $latex {s}&fg=000000$ matrix $latex {B}&fg=000000$ minimizing $latex { \lVert A - B...
| | jkmsmkj.fyi
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| | You should have come from here! Here's a quickie: What are the eigenvalues of a 2D rotation matrix? Here's a problem: For a bunch of rotations performed one after another on a 3D object, find an equivalent single rotation which would give the same result. Here's a solution: First of all, multiply all the rotation...
| | francisbach.com
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| | gereshes.com
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| This post is focused on presenting the basics of stability for dynamical systems, and answers what will our system do if we perturb it a small amount?