8.2.7 (do by hand for 3 iterations. Still answer question about number of iterations needed to have small error using results from 8.3.). No need for code.

Exercise 8.2.6 Write a simple computer program that performs Jacobi iterations (8.2.2), and use it to verify the results shown in Example 8.2.3. Notice how easy this is to program in Fortran, C. or whatever language. A crude MATLAB code based on either of the equations derived in Exercise 8.2.4 is particularly easy. El Exercise 8.2.7 Use the code you wrote for Exercise 8.2.6 to solve the system 5 1 1 $331 10 1 4 1 :32 = 12 1 1 3 11:3 12 by J acobi's method. starting with 3(0) = 0. Observe the iterates arm and the residuals r0\") = b Am\"). How many iterations does it take to make H H") H2 <: for this value of k how well does approximate the true solution b>