Solution of a system of linear equations using the Gauss method

The Gauss method is a classic for solving systems of linear equations, and is older than the author it was named after. It turns out that in ancient China there is a description of the Gauss method in one of the 9 ancient Chinese books on mathematics.

The method of solving systems of linear equations is based on an algorithm that involves the sequential execution of variable elimination steps. The system of linear equations is transformed into an equivalent system of a different type. From it, step by step, and with the help of the online calculator this is done instantly, the variables of the system are calculated.

It should also be noted that an improved calculation method is more often used for practical tasks. It is called the Jordan (Jordan)-Gauss method. The algorithm is divided into two stages. The task of the first stage is to obtain, as a result of modifying the original matrix, a triangular system.