I'm struggling with this question and can't seem to come up with an example:
Give an example of a linear system (augmented matrix form) that has:
- reduced row echelon form
- 3 equations
- 1 pivot variable
- 1 free variable
The constraints that I'm struggling with is: If the system has 3 equations, that means the matrix must have at least 3 non-zero rows. And given everything else, how can I have only 1 pivot?