Linear System of Equations and MATRICES

A linear system of equations is a set of linear equations in variables. Linear systems can be represented in matrix form as the matrix equation

                      

Ax = B 

where A is the matrix of coefficients, x is the column vector of variables, and B is the column vector of solutions. 

Each equation in the system becomes a row. Each variable in the system becomes a column. The variables are dropped and the coefficients are placed into a matrix. If the right hand side is included, it's called an augmented matrix. If the right hand side isn't included, it's called a coefficient matrix.

The system of linear equations ...

 x +  y -  z = 1

3x - 2y +  z = 3

4x +  y - 2z = 9

becomes the augmented matrix

Now, in order to understand how to solve matrices, you need to know some terms related to this topic:

 Finally, some facts about matriz definition!!!