Linear Algebra 2.1 Operations with Matrices

[@JJGhamary]

Bless your heart! thank you for this and please don't stop making these videos.

[@davidmurphy563]

With matrix multiplication, it's easier to start with the dot product between two vectors. Learn how it's a projection, how it's the cosine, how it's a test of similarity. Then do matrix vector multiplication, so the dot product repeated. So you're testing how much the vector is on the axes of a basis. Only then so matrix multiplication. Do it that way and it'll be clear why you're doing it. That way you won't just be memorising operations.

[@SawFinMath]

I appreciate the viewpoint. I’m following a textbook which doesn’t cover dot products until later.

[@davidmurphy563]

Well, LA does have many equally valid ways you can look at it. I like to look at it geometrically in column space with bases rather than just numbers you do operations on.