Multiplying by the Inverse of a Matrix

There's not a direct corollary of dividing two matries, so we're going to trick it by multiplying by the inverse of a matrix. The task is kind of a formidable one, and it requires a lot of math. It's as if you were multiplying by, i don't want to say nothing, but you are essentially leaving everything in identically the same place. So when you multiply a times a in verse, or a in verse times a, you are left with a matrix that just has a bunch of ones down the diagonal.