First things first, I'm not a native English speaker, so although I'm pretty sure my day-to-day "conversation" English is fine, I'm not so sure about my "mathematical" English, so bear with me and fix me where possible, thank you!
I'm going through my first linear algebra course, and although I've finished with the course, I'm still seeking some clarifications on some things.
For example, when searching for basis, solving systems of linear equations etc', I usually use horizontal vectors. However, I saw that in some situations, people are using vertical vectors to solve problems, could you clarify when it is better to use which way?
I don't know why but somehow using vertical vectors "does not make sense" to me, as it seems to me that if I'm using elementary row operations I'm just "scrambling" the system.
Thanks in advance,