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Gauss seidel method is used to solve the following equations (as per the given order):
x1 + 2x2 + 3x3 = 1
2x1 + 3x2 + x3 = 1
3x1 + 2x2 + x3 = 1
Assuming initial guess as x1 = x2 = x3 = 0, the value of x3 after the first iteration is ______.
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- 1.555
- 15.555
- 10.555
- None of the above
Correct Option: A
The equations are
x1 + 2x2 + 3x3 = 5
2x1 + 3x2 + x3 = 1
3x1 + 2x2 + x3 = 3
By pivoting we get
| x1 = | .....(1) | |
| 3 |
| x2 = | .....(2) | |
| 3 |
| x3 = | .....(3) | |
| 3 |
When we put x2 = 0, x3 = 0 in equaiton (1), x1 = 1
put x1 = 1, x3 = 0 in equation (3), x2 = – .333
put x1 = 1, x2 = – .333 in equation (3), x3 = 1.555
