This needs considerably more content. I find that 'graphical' linear algebra becomes a powerful tool when it is used to develop visual intuition for concepts such as determinants (areas/volumes in space and what it means for this quantity to be zero), solutions to linear systems (intersecting lines/planes/hyperplanes), subspaces (lines embedded in planes/hyperplanes and planes/hyperplanes embedded in planes), why a transform from R^2 -> R is not invertible (collapsing a plane into a line) what an eigenvector looks like and how it relates to other matrix properties such as invertibility (with illustrative examples such as a scaling matrix and a rotation matrix)

Having said that, I like the lego analogy for direct sums and why they don't commute. It explains concepts a lot more abstract than the basics of linear algebra. I was not expecting that from the title