Wow that is really complex. Is that a lot further ahead then a question like:

Solve the system of equations by use of determinants

3x+2y-z=34

5x+8y+3z=19

2x-5y-4z=23

Thats the math im on currently. Nowhere close to the stuff you're on. Sorry if this is an inapropriate post but im just intrigued by that question, made me want to see how far away I am from that level of mathematics. Good luck on solving it btw.