COS5018-B - Numerical Analysis - JacobiMethod.m - Mathematics Assignment Help

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Assignment Task

 

Task
Consider the task of solving a linear system Ax = b with 3 variables using Jacobi’s method for a given A and b.

Requirements:
Write a MATLAB function ‘JacobiMethod.m’ to solve a given linear system with 3 variables using Jacobi’s method. The function should do the following:
• accept two inputs A and b. A is a 3 by 3 matrix and b is a vector.
• return the output x which is the solution after 10 iterations of Jacobi’s method with initial guess
x = [0, 0, 0]T

• should be able to check if Jacobi’s method will converge for the give A and print an error message if it can’t converge.

 

 

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