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In: Advanced Math

Say as much as possible about each of the following system’s solution set (recall that there...

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

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