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1. 100 Points Consider a system of linear equations 0 0 0 0 1 [ -2 1 0 1 -2 1 0 1 -2 0 0 1 ... ... 0 ... 1 0 0 0 | 0 ... ... ... 0 -2 1 1 -2 1 0 0 1 -2 1 0 0 || 1 || -2 || Th6 III. III + 0 ... 0 0 Solve the system by TDMA. For direct solvers, present the values of Ti. For the iterative solvers, use T0 = 0 as the initial condition; set the convergence tolerance for the maximum absolute value of the residual of 10-5. For each solver, show the values of T1, T10 and T16 for each iteration. Plot the maximum absolute value of the residuals as a function of iterations on a linear-log plot for three iterative solvers on a single graph. Discuss the performance of each solver. Tabulate how many iterations it took for each solver to get the maximum absolute value of the residuals below the set threshold