Why does matrix arithmetic work?

Question

I know how to do matrix multiplication, cross, product, dot product, etc. But I don’t get why they work.

In: 2

Answer 1

[Here’s a really good youtube series](https://www.youtube.com/watch?v=kjBOesZCoqc&list=PL0-GT3co4r2y2YErbmuJw2L5tW4Ew2O5B) that explains linear algebra.

It explains it better than I could, but the gist is that a matrix can be viewed as a way of transforming a vector and matrix multiplication describes the end result of applying multiple transformations.