I took a course in linear algebra when I was in grad school, took a graphics course (which is basically applied linear algebra), watched the 3 blue 1 brown linear algebra series on YouTube and have spent some time looking at machine learning algorithms (which seem to be basically applied linear algebra) and I still don't feel like I have any real intuitive sense of the topic. Whenever I read an algorithm description that includes a matrix multiplication, say, I understand exactly what they did, but I've never looked at a problem and thought to myself, "ah, that's a problem for linear algebra!"
