Question
Write a MATLAB code using the element-based Jacobi method to solve the system of linear equations, Axb, where A and b are given below.
Write a MATLAB code using the element-based Jacobi method to solve the system of linear equations, Axb, where A and b are given below. 5 6 7 5 8 -4-1 0 -3 A = 2 1 -1 3 6 -9 10 1 -4 6 9 5 -5-8 b [-35 29 -2] = Start with the matrix, A, provided and then set the elements of the diagonal to be A(i, i) = A(i, k) to ensure the matrix is diagonally dominant. We'll call this new matrix, A*. (a) Stop the iterations when the 2-norm of ||x(k) - x(k-1)||/||x()|| is less than 10-6. (b) Print out the final values for Xk, the corresponding 2-norm of the error, and the number of iterations required. (c) Repeat this exercise with the original matrix, A, and report the number of iterations required. How has it changed?
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