14.5. EXERCISES 343
14.5 Exercises1. Solve the system 4 1 1
1 5 20 2 6
x
yz
=
213
using the Gauss Seidel method and the Jacobi method. Check your answer by alsosolving it using row operations.
2. Solve the system 4 1 11 7 20 2 4
x
yz
=
123
using the Gauss Seidel method and the Jacobi method. Check your answer by alsosolving it using row operations.
3. Solve the system 5 1 11 7 20 2 4
x
yz
=
301
using the Gauss Seidel method and the Jacobi method. Check your answer by alsosolving it using row operations.
4. Solve the system 7 1 01 5 20 2 6
x
yz
=
11−1
using the Gauss Seidel method and the Jacobi method. Check your answer by alsosolving it using row operations.
5. Solve the system 5 0 11 7 10 2 4
x
yz
=
173
using the Gauss Seidel method and the Jacobi method. Check your answer by alsosolving it using row operations.
6. Solve the system 5 0 11 7 10 2 9
x
yz
=
110
using the Gauss Seidel method and the Jacobi method. Check your answer by alsosolving it using row operations.