Hello,
I note from the lecture that when there are multiple solutions in the system, then the system is called singular ( system is redundant or contradictory). Why this choice? I find it somewhat confusing, as in ‘singular vs plural’ it is the singular that is associated to one, and not many.
How can I think of it so that this wording becomes intuitive?
Thank you in advance,
BR
Eftychia
If you pick a square matrix at random (meaning that you pick the entries in the matrix from a uniform continuous distribution), the random square matrix you select will almost always be non-singular. So, if you think that singular matrices are rare, it makes sense to call them singular using one meaning of the word “singular” as in “strange or eccentric in some respect.”
Thank you very much for your detailed explanation, it indeed makes sense!