1. Give an example of an augmented matrix in reduced row echelon form that describes a linear system having the stated properties. For each example, (i) circle the pivot positions in the augmented matrix, and (ii) write one short sentence that explains why your example meets the stated criteria. If it is not possible to find such an example, explain why.
A. a linear system having 2 equations and 4 unknowns with no solutions
B. a linear system having 2 equations and 4 unknowns with exactly one solution
C. a linear system having 2 equations and 4 unknowns with infinitely many solutions
D. a linear system having 4 equations and 2 unknowns with no solutions
E. a linear system having 4 equations and 2 unknowns with exactly one solution
F. a linear system having 4 equations and 2 unknowns with infinitely many solutions