ChatGPT在线性代数中的应用：取得的进步与待完善之处
ChatGPT in Linear Algebra: Strides Forward, Steps to Go
AI总结：
本文分析了ChatGPT在基础线性代数中的会话表现，指出其虽在解题上有巨大进步，但目前仍无法取代人类教师，且其基于统计原理而非真正理解。
摘要：
每当新技术出现时，教育界便会探索其功能及在教育中应用的可能性。在本文中，我们分析了围绕基础线性代数主题与ChatGPT进行的会话。我们回顾了近期一年中ChatGPT在我们感兴趣领域的发展过程，强调了其在解决线性代数问题方面所取得的巨大进步。特别地，我们探讨了该软件能否担任助教甚至以某种方式取代人类教师的问题。截至本文撰写之时，答案总体上是否定的。对于答案可能为肯定的一小部分情况，我们给出了一些关于原创工具性生成的思考。与该软件的交流给人一种与人类交谈的印象，有时问题在于该软件是否理解了问题。因此，我们提请读者注意这样一个事实：ChatGPT基于统计原理工作，而非基于反思和理解。
英文摘要：
As soon as a new technology emerges, the education community explores its affordances and the possibilities to apply it in education. In this paper, we analyze sessions with ChatGPT around topics in basic Linear Algebra. We reflect the process undertaken by the ChatGPT along the recent year in our area of interest, emphasising the vast improvement that has been done in grappling with Linear Algebra problems. In particular, the question whether this software can be a teaching assistant or even somehow replace the human teacher, is addressed. As of the time this paper is written, the answer is generally negative. For the small part where the answer can be positive, some reflections about an original instrumental genesis are given. Communication with the software gives the impression to talk to a human, and sometimes the question is whether the software understands the question or not. Therefore, the reader's attention is drawn to the fact that ChatGPT works on a statistical basis and not according to reflection and understanding.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
