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Linear System of Equations

A system of equations in which each equation is linear.

For any linear system, exactly one of the following will be true: There is only one solution, there are infinitely many solutions (consistent), or there are no solutions (inconsistent). A linear system with more equations than variables is called overdetermined, and a linear system with more variables than equations is called underdetermined.



 

See also

Coefficient matrix, augmented matrix, Gaussian elimination, Gauss-Jordan elimination

 


  this page updated 21-feb-16
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
NCTM Web Bytes December 2004 Web Bytes March 2005 Web Bytes