I ran into a bit of a roadblock trying to code a program to perform simple matrix operations. The catch was that I wanted to be able to let the user specify the dimension of the matrices on the fly.

$$\begin{aligned} \begin{aligned} X'= \left\{ \begin{array}{l} x_1 S_3 S_5\ldots l_{n-3} S_{n-1 }+x_3 S_5\ldots S_{n-3 }S_{n-1}+\cdots +x_{n-3 } S_{n-1 }+x_{n-1 ...