What is a Vampire Matrix?

From the creator

Apply for a paid internship at Jane Street! Or, a job. https://jane-st.co/SUM-internships Vampire Numbers on Numberphile with James Grime. https://youtu.be/3ZMnVd4ivKQ Flammable Math's original tweet: https://twitter.com/FlammableMaths/status/1306303462607654914 Robin Houston gets involved: https://twitter.com/robinhouston/status/1306539901576503297 Here comes Greg Egan! https://twitter.com/gregeganSF/status/1306565923671736320 Robin's tweets about characteristic polynomials and the Cayley-Hamilton theorem. I suggested looking them up and working through the logic yourself. It's straight-forward enough and good fun. https://twitter.com/robinhouston/status/1306588415001915393 Robin's code for finding 2 × 2 examples: https://gist.github.com/robinhouston/83f0fa99046aeaaf5d27ddbb3218142e Robin's 3 × 3 monsters. If you can beat them: let us know! https://gist.github.com/robinhouston/6c74a607a7ee8d4553feead2828107d9 My previous video about log(1+2+3) https://www.youtube.com/watch?v=OcTMBrUutfk Behold the pi matrix which squares to give more pi! [[15,143],[52,936]] https://www.wolframalpha.com/input/?i=%5B%5B15%2C143%5D%2C%5B52%2C936%5D%5D%5E2 CORRECTIONS - At 07:20 I say 81 when I mean 82. The on-screen number is correct. - I accidentally say "log troll" instead of "division troll" at 03:38. - At 03:45 I cross out the wrong 7. Whoops. Gives 117 instead of 171. First spotted by Ryan Parker (no relation). - I think that's all. Let me know if you spot any more mistakes. As

Published 2020-10-31 · Watch on YouTube ↗
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