Definition:Simultaneous Linear Equations/Matrix Representation/Matrix of Coefficients

Definition
Consider the system of simultaneous linear equations can be expressed as:


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

expressed in matrix representation as:
 * $\mathbf A \mathbf x = \mathbf b$

The matrix $\mathbf A$ is known as the matrix of coeffficients of the system.