The geometric description
So, interesting. Considering one question in the problem set 1.1 do livro Linear Algebra do professor Strang. It is already interesting because we can really reasoning about what means the concepts to solve a question.
The concept is the geometric description given two or three vectors. I then asked Claude to clarify that. Is it just state if the vectors describe a line, a plane or R3? And it was that. Nisso, além dessa compreensão, Claude falou sobre que passa pela origem. Perguntei então sobre isso, esse detalhe na resposta, and, just a careful perspective to understand that considering the scalar as 0, se obtém que a linha ou o plano passa pela origem. E que, para o R3, seria trivial porque tem a origem.
So, basically, for this kind of problem, to study if the vectors are multiple of the other or if one of them is linear combination of the others.
Really great learning.