Hey there! You’re totally right—your observations are spot-on. Let me unpack this a bit to reinforce what you’re picking up on:

• I’m an undergrad student who’s worked through Axler’s Linear Algebra Done Right up to Chapter 5, and also skimmed Strang’s Linear Algebra and Its Applications. In my school classes, we’ve focused on the computational side: solving systems of linear equations.
• Linear algebra at its core is the study of linear transformations and vector spaces—these are way more abstract concepts than just cranking through linear equation solutions. It’s less about plugging numbers in and more about understanding the underlying structures and rules that make those calculations work.
• This shift you’re noticing is a huge part of moving into higher-level math: we go from mastering concrete computational skills (like algebra, trigonometry, and calculus) to exploring broader, more abstract frameworks (real analysis, linear algebra, and beyond). It’s all about generalizing what we’ve learned to apply to more complex scenarios, and that’s exactly the right way to frame this transition.

You’ve got a solid grasp of where linear algebra fits and how math evolves as you advance!

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