Example of Matrix in Reduced Row Echelon Form 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

*consistent

*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?

Hint: It's gotta have only three columns, one for each of the variables (1 pivot, 1 free) and one column for the constants in the equations.
