System of linear equations

Matrix of a system of linear equations

For a system of unknowns and equations; given is the matrix containing the coefficients, is the column vector of unknowns, and is the column vector of results; a system may be represented as

e.g. the following system

can also be stated as

Augmented matrix

When solving systems of linear equations by, for example, Gaußian elimination, it is common to form the “augmented matrix” . Using the example above

---

tidy | sembr