For each system described below say as much as possible about each system’s solution set. Note which...

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Advance Math

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.

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THEOREM 1If there are more variables n than the number of equations m then the number of solutions of the system is either 0 or infinite If a system is homogeneous then it has the zero solution and thus a homogeneous system is always consistent THEOREM 2If the number of unknowns are greater than number of equations then the columns of the coefficient matrix are linearly dependent THEOREM 3For the system of equation See Answer

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