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 : 286

The Jacobi method is an iterative technique for solving a system of linear equations. It is based on decomposing the coefficient matrix into its diagonal and off-diagonal parts and updating each variable using the previous iteration values. In C programming, the implementation starts by defining the coefficient ___ _____ _________ _____ ________ ____ ____ ____.
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