Multiplying Multiple Matrixes

The idea of multiplying a vector by a matrix is transforming it in some way. When you multiply two matrices together, all you are doing is compounding their transformations. So if one matrixro ted everything clockwise 90 degrees, and another matrix rotated everything back forty five degrees, the matrix that you would get when you multiply those together just does the compound operation which would be just rotating everything forty five degrees. If our first matrix isend by p, our second multiplier has to start with p in its order, so the inside numbers on those orders have to be the same.