Definition:Simultaneous Equations/Linear Equations

Definition
A system of simultaneous linear equations is a set of equations:


 * $\ds \forall i \in \set {1, 2, \ldots, m} : \sum_{j \mathop = 1}^n \alpha_{i j} x_j = \beta_i$

That is:

Also see

 * Solution to Simultaneous Linear Equations