> It’s definitely hard to explain an idea like SVM, it’s applications, and how it works/what it does without a background in some linear algebra.

I don't actually think this is the case. The basic idea is that you can represent data as points in n-dimensional space and draw decision boundaries in that space. I think most people should at least be able to understand this geometrically for n=2/3 and then accept that it possibly extrapolates to n > 3.