Answer to Question #69545 in Math for kapil

Question

Solve the system of equations
8x-y+2z=4
-3x+11y-z+3t=23
-y+10z-t=-13
-2x+y-z+8t=13
with x^(0) = [0 0 0 0]^T , by using the Gauss Jacboi and Gauss Seidel method. The exact
solution of the system is x = [1 2 −1 1]^T . Perform the required number of iterations so that
the same accuracy is obtained by both the methods. What conclusions can you draw from the
results obtained?