5 ms·

Also check out 3Blue1Brown's Essence of Linear Algebra https://youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab https://youtube.com/playlist?list=P

• mathgenius 5y ago
  And here is linear algebra as path counting [1]. This is closely related to path integrals in quantum physics. The rules for combining quantum amplitudes are the rules for combining path counts [2]. This is also how graphical linear algebra works [3]. And since we are all hackers here, if you replace the underlying number system with the min-sum semiring you get things like Dijkstra's algorithm. I really like how all these ideas are related. [1] https://www.youtube.com/watch?v=ei6RfbplYZM https://www.youtube.com/watch?v=ei6RfbplYZM [2] https://www.feynmanlectures.caltech.edu/III_03.html https://www.feynmanlectures.caltech.edu/III_03.html [3] https://graphicallinearalgebra.net/ https://graphicallinearalgebra.net/
  • Grustaf 5y ago
    I watched the path counting one and I want my time refunded please. It had nothing to do with linear algebra. Nothing to do with quantum physics either, except that they used bracket notation for some inexplicable reason. What am I missing?
    • mathgenius 5y ago
      Thanks for the feedback. Do you want your time refunded, or do you want answers to your questions? The two seem to be in contradiction. If it's the former then what is your hourly rate for watching well-intentioned youtube videos made by experts in the field ?
• deleted 5y ago
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• penguin_booze 5y ago
  Here's part 1 of Pavel Grinfeld's linear algebra series: https://www.youtube.com/playlist?list=PLlXfTHzgMRUKXD88IdzS14F4NxAZudSmv https://www.youtube.com/playlist?list=PLlXfTHzgMRUKXD88IdzS1....