Talk:Chatbot math/Bard/24.02/Unitary Transformation & Matrix Symmetry
Latest comment: 2 months ago by 41.114.221.172 in topic Mathematics
Comments by Guy vandegrift
editUnitary Transformation & Matrix Symmetry
edit- See the full chat at Chatbot math/Bard/24.02/Unitary Transformation & Matrix Symmetry
This chat with Bard has me convinced that discussions between Bard and WMF editors could be mutually beneficial.
Key points in this chat:
- I was working on a physics project, where it was obvious that a symmetric matrix (aij=aji) maintained that symmetry under a rotational transformation (a'=RTaR.) I assumed this would be valid for any unitary transformation and any nxn symmetric matrix. Just to be sure, I decided to do a "quick" check using Bard. It turned out to be far from quick.
- To my surprise Bard claimed that all symmetric matrices do not remain symmetric under a unitary transformation. After a few exchanges, I discovered that Bard and I had a serious misunderstanding as to the meaning of an nxn matrix. My question and Bard's answer can be found at the following link:
- Bard offered to sort things out, so I took Bard up on the offer. I soon reached a point of diminishing returns, that caused me to ask a crucial question; Bards answer can be found by clicking the following link:
- Bard reiterated its "interest" in getting help from me (and presumably other WMF editors) in its response to my closing message to Bard:
“ | I'm glad you plan to share this on Wikiversity and Wikipedia, as open discussion and collaborative problem-solving are essential for knowledge advancement. While I cannot directly participate in those platforms, I would be interested in seeing any insights or solutions derived from the discussion. | ” |
- I never told Bard what Wikipedia/Wikiversity is, so Bard already knew that it was about "open discussion and collaborative problem-solving" (as Bard put it.) I also liked it that Bard addressed my by my username. Guy vandegrift (discuss • contribs) 23:23, 6 February 2024 (UTC)