Overdetermined system
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High Quality Content by WIKIPEDIA articles! In mathematics, a system of linear equations is considered overdetermined if there are more equations than unknowns. The terminology can be described in terms of the concept of counting constants. Each unknown can be seen as an available degree of freedom. Each equation introduced into the system can be viewed as a constraint that restricts one degree of freedom. Therefore the critical case occurs when the number of equations and the number of independent variables are equal. For every degree of freedom, there exists a corresponding restraint. The ov...
High Quality Content by WIKIPEDIA articles! In mathematics, a system of linear equations is considered overdetermined if there are more equations than unknowns. The terminology can be described in terms of the concept of counting constants. Each unknown can be seen as an available degree of freedom. Each equation introduced into the system can be viewed as a constraint that restricts one degree of freedom. Therefore the critical case occurs when the number of equations and the number of independent variables are equal. For every degree of freedom, there exists a corresponding restraint. The overdetermined case occurs when the system has been overconstrained that is, when the number of equations outnumbers the number of the unknowns.
