In Exercises 1-3, apply Jacobi's method to the given system. Take the zero vector as the initial approximation and work with four-significant-digit accuracy until two successive iterates agree within 0.001 in each variable. In each case, compare your answer with the exact solution found using any direct method you like.
1. 7x1 - x2 = 6
x1 - 5x2 = - 4
2. 2x1 + x2 = 5
x1 - x2 = 1
3. 4.5x1 - 0.5x2 = 1
x1 - 3.5x2 = - 1