SKEDSOFT

Solution to a Linear System:

Gaussian Elimaination and Gauss-Jordan Reduction:

Given the system AX = B to solve this system by Gaussian alimination method we transform the argumented matrix [A|B] to the matrix [C|D] which is row echelon matrix by using elementry row operations. Then to find the solutions of the system from the corresponding argumented matrix [C|D] we back substitute.

Example- Sove the system

Solution: The corresponding matrix [A|B]of the system is

By elementry row operations We transform the matrix to a row echelon matrix [C|D].

Using back substitution we now obtain

Example- Solve the system

The corresponding argumented matrix is

Hence the solution is