Final answer:
The method employed for solving the system of linear equations is Gauss-Seidel method.
option d is correct
Step-by-step explanation:
When solving a system of linear equations, there are several methods that can be employed. One commonly used method is the Gauss-Seidel method. This iterative method starts with an initial guess for the solution and then repeatedly updates the values of the variables until a desired level of accuracy is achieved.
The Gauss-Seidel method is particularly useful for systems of equations where the coefficient matrix is diagonally dominant. In each iteration, the Gauss-Seidel method updates the values of the variables one at a time, using the most up-to-date values of the other variables. This iterative process continues until the solution converges to the desired accuracy.
It's important to note that the Gauss-Seidel method may not converge for all systems of linear equations. In some cases, the method may diverge or oscillate between different values. In such cases, other methods like the Jacobi method or the LU decomposition method can be used.