The reflection

Our analysis of 3D systems using rref led to several different results - more than we saw when using rref on 2D systems.  Of course, in 3D, more things can happen - as you saw from your brainstorming with your three "planes".  I would like you to write a reflection of the similarities and differences between systems of equations and their rref matrices in 2D and 3D.  This should come after your final analysis of the systems on the worksheet.  With 2D we knew which systems were consistent, inconsistent, and dependent from their rref matrices and what the system looked like when the lines were drawn.  Were you able to do the same with your 3D systems?