Category:Simultaneous Linear Equations
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This category contains results about Simultaneous Linear Equations.
Definitions specific to this category can be found in Definitions/Simultaneous Linear Equations.
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:
\(\ds \beta_1\) | \(=\) | \(\ds \alpha_{1 1} x_1 + \alpha_{1 2} x_2 + \cdots + \alpha_{1 n} x_n\) | ||||||||||||
\(\ds \beta_2\) | \(=\) | \(\ds \alpha_{2 1} x_1 + \alpha_{2 2} x_2 + \cdots + \alpha_{2 n} x_n\) | ||||||||||||
\(\ds \) | \(\cdots\) | \(\ds \) | ||||||||||||
\(\ds \beta_m\) | \(=\) | \(\ds \alpha_{m 1} x_1 + \alpha_{m 2} x_2 + \cdots + \alpha_{m n} x_n\) |
Subcategories
This category has the following 4 subcategories, out of 4 total.
Pages in category "Simultaneous Linear Equations"
The following 5 pages are in this category, out of 5 total.