Thank you for your insight. Out of idle curiosity, I tried putting your last query into Gemini 2 Flash Thinking Experimental and it told me yes first-shot.
Here’s the final output, it’s absolutely beyond my ability to evaluate, so I’m curious if you think it went about it correctly. I can also share the full COT if you’d like, but it’s lengthy:
corank has to be more than 1, not equal to 1. I’m not sure if such a matrix exists; the reason I was able to change its mind by supplying a corank-1 matrix was that its kernel behaved in a way that significantly violated its intuition.
Thank you for your insight. Out of idle curiosity, I tried putting your last query into Gemini 2 Flash Thinking Experimental and it told me yes first-shot.
Here’s the final output, it’s absolutely beyond my ability to evaluate, so I’m curious if you think it went about it correctly. I can also share the full COT if you’d like, but it’s lengthy:
https://ibb.co/album/rx5Dy1
(Image since even copying the markdown renders it ugly here)
corank has to be more than 1, not equal to 1. I’m not sure if such a matrix exists; the reason I was able to change its mind by supplying a corank-1 matrix was that its kernel behaved in a way that significantly violated its intuition.