 system of equations

In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system).For a system to have a unique solution, the number of equations must equal the number of unknowns. Even then a solution is not guaranteed. If a solution exists, the system is consistent; if not, it is inconsistent. A system of linear equations can be represented by a matrix whose elements are the coefficients of the equations. Though simple systems of two equations in two unknowns can be solved by substitution, larger systems are best handled with matrix techniques.
* * *
Universalium. 2010.
Look at other dictionaries:
System of linear equations — In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables. For example,:egin{alignat}{7}3x ; + ; 2y ; ; z ; = ; 1 2x ; ; 2y ; + ; 4z ; = ; 2 x ; + ; frac{1}{2} y ; ; z … Wikipedia
system — systemless, adj. /sis teuhm/, n. 1. an assemblage or combination of things or parts forming a complex or unitary whole: a mountain system; a railroad system. 2. any assemblage or set of correlated members: a system of currency; a system of… … Universalium
System of Physical Quantities — of Nikolay A. Plotnikov (SPQ) the classification of physical quantities or physical operators, that makes it possible to reveal their dependence on the geometry of space time and fundamental physical constants in the form of differential… … Wikipedia
Equations of motion — Classical mechanics Newton s Second Law History of classical mechanics … Wikipedia
System dynamics — [ John Sterman 2001.] System dynamics is an approach to understanding the behaviour of complex systems over time. It deals with internal feedback loops and time delays that affect the behaviour of the entire system. [http://sysdyn.clexchange.org… … Wikipedia
System identification — In control engineering, the field of system identification uses statistical methods to build mathematical models of dynamical systems from measured data. System identification also includes the optimal design of experiments for efficiently… … Wikipedia
Equations of condition — Equation E*qua tion, n. [L. aequatio an equalizing: cf. F. [ e]quation equation. See {Equate}.] 1. A making equal; equal division; equality; equilibrium. [1913 Webster] Again the golden day resumed its right, And ruled in just equation with the… … The Collaborative International Dictionary of English
Simultaneous equations — In mathematics simultaneous equations are a set of equations containing multiple variables. This set is often referred to as a system of equations. To solve simultaneous equations, the solver needs to use the provided equations to find the exact… … Wikipedia
Overdetermined system — For the philosophical term, see overdetermination. In mathematics, a system of linear equations is considered overdetermined if there are more equations than unknowns.[1] The terminology can be described in terms of the concept of counting… … Wikipedia
Global Positioning System — GPS redirects here. For other uses, see GPS (disambiguation). Geodesy Fundamentals … Wikipedia