A process to turn a Augmented Matrix into REF to find solutions. https://www.youtube.com/watch?v=seet9VyHo3Q
Process
- Locate the left-most column with the first non-zero entry
- Swap the top-most row with the non-zero entry row
- Multiply the row so that the non-zero entry is equal to one
- Add suitable multiples of the top row to the bottom row until all entries below are equal to 0
- Mark the top-most row as completed, now continue the process for the bottom rows
