solve 2x + y + 6z = 9; 8x + 3y + 2z = 13; x + 5y + z = 17 by using gauss Seidel iteration method
Answers
Answer:
Given : q=0.05C V
A
=200V V
B
=100V
As the electric field is an conservative field, thus the work done in moving a charge from one point to another is path independent.
∴ W
BA
=q(V
A
−V
B
)=0.05(200−100)=5 J
Explanation:
Given:
To find: Solution of system of equations using Gauss Seidel iteration method
Solution:
In this method;First write the given equations in terms of x,y and z respectively.Then approximate the values of x,y and z by iteration.
The whole process is shown below:
Now,Start the process of approximation
Put
put
in first equation
For second iteration we have the values of x1,y1,z1
apply second iteration
For third iteration
On observing the values of x,y and z in each iteration,one can analyze that the values are very different(Deviation is very large)
Thus,
These linear equations can not be solve by Gauss Seidel iteration method.
Remark*: These equation can be solve by Gauss elimination Method.
Hope it helps you.
To learn more on brainly:
What is the limitation of Gauss-Seidel method?
a) It cannot be used for the matrices with non-zero diagonal elem
b) ...
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