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
- 6 years ago
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##### Definition of basic/dependent/leading variable in a linear system math.la.d.linsys.variable.dependent

##### Definition of free/independent variable in a linear system math.la.d.linsys.variable.independent