Maths for Engineers - 1

Solution To A Linear System

Solution to a Linear System-1:

Example- Consider the linear system

   

 

The argumented matrix;

   

 

Then by row operations we get;

 

From the last argumented matrix, we obtain The solution of the system . This solution is obtained by applying Gaussian elimination method. To solve the linear system by Gauss-Jordan reduction we transform the last matrix to [C|D] which is in reduced row ecelon form, by the following steps.