Write a C Program for solving the following system of equations using

Question

Write a C Program for solving the following system of equations using Jacobi method:
$$
\begin{bmatrix}
5 & -1 & -1 & -1 \\
-1 & 10 & -1 & -1 \\
-1 & -1 & 10 & -1 \\
-1 & -1 & -1 & 5
\end{bmatrix}
\begin{bmatrix}
x_1 \\
x_2 \\
x_3 \\
x_4
\end{bmatrix}
=
\begin{bmatrix}
-4 \\
12 \\
8 \\
34
\end{bmatrix}
Starting with x(0) = (0, 0, 0, 0). The exact solution is x = (1, 2,

16 Sep 2025

Answer :

Word Count : 244

The Jacobi method is an iterative numerical technique used to solve a system of linear equations by decomposing the coefficient matrix into its diagonal and remainder parts. Each iteration refines the solution by updating variables based on the most recent approximations. For the given system of equations with _______ ____ ________ _________ _________ ________.
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