I've used an LLM for tutoring, but it doesn't replace the experience of biking across campus, ordering a coffee, unpacking my TI-89/iPad, cracking jokes with the professor and other students, paying attention, taking notes, and having to remember the material until exam day. This process is culture, and it's honing my mental blade. Then, as a solo-entrepreneur, I go home and use Cline+Sonnet to hack on a few side projects. These two processes compliment each other, greatly. Like I've mentioned in other replies, this is for "#2 fun" and to see if the "old guy (me) has still got it."
I have padlocks that I use to lock up my tools, or my bike, etc. The problem is, I often go several months without using some of them and forget the combinations. So, I decided to write down their combinations, but then I always lose the sheet. Being the math geek that I am, I decided on the following solution. I choose a 3 × 3 matrix and multiply this matrix by the combination and write the result on the back of the lock. For example, on the back of one lock is written “2688 − 3055 − 2750 : Birthdays,” indicating that the 3 × 3 matrix that I chose for that particular lock is the matrix whose rows consist of the birthdays of my brothers and me (from youngest to oldest). My brother Rod was born on 7/3/69, I was born on 7/28/66, and my older brother was born on 7/29/57. What is the combination of the lock?
Now, technically the LLM didn't quite know how to parse "2688 − 3055 − 2750" and ran the calculation with "[2688;-3055;2750]" and produced a response of, "These values are clearly not typical lock combinations, which suggests a potential issue with the encoding process."
Smart, kind-of. I reran with a more explicit prompt and it calculated the correct combination.
Overall though, I'm impressed with using ChatGPT as a linear algebra tutor. I wouldn't hesitate to use it in the future.
I just tried your prompt: o1, gpt4.5, gemini 2 pro solved it correctly (21-19-36), sonnet3.7 and grok3 failed because of the parsing error you described.
