For each system described below say as much as possible abouteach system’s solution
set. Note which theorems you are using to reach yourconclusions.
(a) A consistent system of 8 equations in 5 variables.
(b) A consistent system of 5 equations in 8 variables.
(c) A system of 4 equations in 9 variables.
(d) A system with 15 equations in 35 variables.
(e) A system with 8 equations and 5 variables. The reducedrow-echelon form of the
augmented matrix of the system has 6 pivot columns.