Matrices are the only math problem man actually knows how to solve.

Everything else is just sort of bullshitting our way through the best we can.

Multiplying matrices like is a notation that let’s us reason about very large complicated objects at a very simple level.

The convention of multiplication of matrices seems kind of arbitrary (rows times columns) but it is simple.

The two main powerful questions about a matrix we can get an answer to are what is a matrices inverse and what are it’s eigenvalues.

Hence the emphasis on linear differential equations. Any problem phrased in these terms is just a matrix problem.

Here’s the biggest most important point of Green’s Functions. If the differential operator is considered to be a matrix, then the Green’s function is it’s matrix inverse .

Boom.