Upvoted. Very true, and thanks for the mistakes and stuff. I'll fix the ones I can, and I'm adding some more stuff that actually relates to CS.
>(like, matrix multplication isn't commutative, that means: A∗B≠B∗A when B and A are matrices)
You want to say something like "A∗B isn't necessarily equal to B∗A when B and A are matrices." Neither A∗B≠B∗A nor A∗B=B∗A are true in general when A and B are matrices.