نظام المعادلات الخطية

A linear system may behave in any one of three possible ways:
1. The system has infinitely many solutions.
2. The system has a single unique solution.
3. The system has no solution.
A linear system is inconsistent if it has no solution, and otherwise it is said to be consistent . When the system is inconsistent, it is possible to derive a contradiction from the equations, that may always be rewritten such as the statement 0 =1. ...........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................