I found this tool online to validate my assumptions for 1b. It's a simple tool to run the gauss-jordan reduction. I ran it for each permutation of the constraints and it looks like it gave the right answers.
Just a quick note:
- You would need to enter the matrices in rows 14 and 15.
- Highlight these rows.
- Then click reduce completely.
Use at your own discretion. I will not be responding to help requests on this. :-)
Gabriel