Category:Definitions/Simultaneous Linear Equations

This category contains definitions related to Simultaneous Linear Equations.
Related results can be found in Category:Simultaneous Linear Equations.

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

That is:

$\ds \beta_1$

$=$

$\ds \alpha_{1 1} x_1 + \alpha_{1 2} x_2 + \cdots + \alpha_{1 n} x_n$

$\ds \beta_2$

$=$

$\ds \alpha_{2 1} x_1 + \alpha_{2 2} x_2 + \cdots + \alpha_{2 n} x_n$

$\ds $

$\cdots$

$\ds $

$\ds \beta_m$

$=$

$\ds \alpha_{m 1} x_1 + \alpha_{m 2} x_2 + \cdots + \alpha_{m n} x_n$

Subcategories

This category has the following 3 subcategories, out of 3 total.

The following 17 pages are in this category, out of 17 total.