We will now be more careful about analyzing the reduced row-echelon form derived from the augmented matrix of a system of linear equations. In particular, we will see how to systematically handle the situation when we have infinitely many solutions to a system, and we will prove that every system of linear equations has either zero, one or infinitely many solutions. With these tools, we will be able to routinely solve any linear system.

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- GFDL-1.2
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- September 11th, 2017
- 7 years ago
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##### The number of pivots in the reduced row echelon form of a consistent system determines the number of free variables in the solution set. math.la.t.rref.pivot.free