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buttondown.com
| | blog.wesleyac.com
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| | Designing State-Space controllers
| | stephenmalina.com
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| | Matrix Potpourri # As part of reviewing Linear Algebra for my Machine Learning class, I've noticed there's a bunch of matrix terminology that I didn't encounter during my proof-based self-study of LA from Linear Algebra Done Right. This post is mostly intended to consolidate my own understanding and to act as a reference to future me, but if it also helps others in a similar position, that's even better!
| | stephenmalina.com
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| | Selected Exercises # 5.A # 12. Define $ T \in \mathcal L(\mathcal P_4(\mathbf{R})) $ by $$ (Tp)(x) = xp'(x) $$ for all $ x \in \mathbf{R} $. Find all eigenvalues and eigenvectors of $ T $. Observe that, if $ p = a_0 + a_1 x + a_2 x^2 + a_3 x^3 + a_4 x^4 $, then $$ x p'(x) = a_1 x + 2 a_2 x^2 + 3 a_3 x^3 + 4 a_4 x^4.
| | neilmadden.blog
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| Note: this post will probably only really make sense to cryptography geeks. In "When a KEM is notenough", I described how to construct multi-recipient (public key) authenticated encryption. A naïve approach to this is vulnerable to insider forgeries: any recipient can construct a new message (to the same recipients) that appears to come from the...