Oh right I see. But don't you think introducing matrices as a type of transformation between vector spaces is too much too early? One reason maths is so difficu

Oh right I see. But don't you think introducing matrices as a type of transformation between vector spaces is too much too early? One reason maths is so difficult is that our brain simply has no point of comparison to bootstrap the concepts with. You just get used to it over time with effort. Starting so abstract would leave many people lost at sea. But then again, a lot of why matrix algebra was so confusing at first is it all seemed so arbitrary. Just memorizing a bunch of boring human calculable unmotivated algorithms. I get angry thinking about it. It wasn't till I read about how they came about in 1800s and studied linear algebra did they start to make sense. Maybe maths beyond basic probability,geometry and algebra - which can be readily motivated to everyday life - should not be taught to everyone. Then less people would find it useless and more people would not be so embittered towards the subject.