In: Advanced Math
Say as much as possible about each of the following system’s solution set (recall that there are 3 possible solution set sizes to linear systems. Can you use process of elimination to rule some out?) State the theorems you use to reach your conclusions.
(a) A consistent system of 5 equations in 8 variables.
(b) A system with 11 equations in 12 variables.
(c) A system with 16 equations and 13 variables. The reduced row-echelon form of the augmented matrix of the system has 14 pivot columns