Whenever I come across a matrix multiplication, my first attempt at visualizing it is to view the multiplication as: multiple objects, combined together, many times Matrices are usually carrying a list of objects, with each object represented by a row or column of the matrix. Inspecting how matrices behave by looking these objects can be an effective way to understand what an author is trying to communicate when they use matrices. Read more...

Reading matrix notation is burdened by the trivial things like rows being indexed before columns. An author can be trying to communicate something simple, yet the reader's cognitive load can be high as they unpack the matrix notation. Here, I'm experimenting with ways to make matrix notation more memorable. Indexing There is no fundamental reason why rows should appear before columns in matrix indexing. It's just a convention to be remembered. Read more...